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Engage New York Grade 6 Module 1 Full Module Review

Module 1 Full Module Review - Don Riggio School 6th ... · Module 1 Full Module Review . Your Purchase Your purchase entitles you to use the materials purchased for use in one

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Engage

New York

Grade 6

Module 1 Full Module

Review

Your Purchase Your purchase entitles you to use the materials purchased for use in one classroom. Photocopying is permitted provided that the copies are used within the purchasers classroom. If you are a middle school teacher who teaches more than one class of the same subject, you may photocopy the materials for all students you have in those classes. Please do not share, alter, copy, or distribute materials to multiple teachers. A discount is available for multiple licenses if you want to share the materials with your colleagues. Permission for use does not extend to posting materials online, even if intended for student use.

Module 1 Review Lessons 1 & 2

Write each ratio two ways.

1. At the fair for every 8 games, there are 6 rides. ______ ______

2. At the burger shop, for every 5 chocolate shakes sold,

there are 7 vanilla shakes sold. ______ ______

3. Margaret’s recipe calls for 2 eggs and 1 cup of flour. ______ ______

Describe a scenario for each ratio.

4. 6 : 1 _____________________________________________________

5. 4 : 9 _____________________________________________________

Lessons 3 & 4

Determine if the ratios are equivalent. If they are, tell the factor relating them. If

they are NOT, create a ratio that would be equivalent.

6. 36 : 54 and 4 : 9 ___Yes ___No _____________________

7. 32 : 18 and 16 : 9 ___Yes ___No _____________________

Lessons 5 & 6

Use tape diagrams ratios to solve each problem.

8. Xochitl is making guacamole. She uses 3 tablespoons of cilantro for every 4

avocados. How many tablespoons of cilantro will she need for 16 avocados?

1

9. Aisha can walk 9 miles in 2 hours. At this rate, how many miles will she walk

during the week if she walks a total of 6 hours?

Lesson 7

Fill in the table with ratios associated to the given ratio. Remember that equivalent

ratios are NOT the same as associated ratio.

Find the value of each ratio. Then write an equation using the value.

12. With every 162 bead, Diane makes 3 necklaces.

Ratio: Value in lowest terms: Equation:

Ratio: Value in lowest terms: Equation:

13. Mr. Heimler grades 126 tests in 3 hours.

Ratio: Value in lowest terms: Equation:

Ratio: Value in lowest terms: Equation:

Description Ratio Associated Ratio

Part-to-Part

Associated Ratio

Part-to-Whole

10. For every 3 white eggs, there

are 2 brown eggs.

3 : 2

11. For every 9 teaspoons of sugar,

there are 4 teaspoons of salt.

9 : 4

2

Lessons 9 & 10

Mario has a new job designing websites. He is paid at a rate of $500 for every 2

pages of web content that he builds.

14. Create a ratio table to show the total amount of money Mario has earned in

ratio to the number of pages he has built.

15. Mario is saving up to purchase a used car that costs $4000. How many web

pages will Mario need to build before he can pay for the car?

Lesson 11

Jack and Angela are making orange juice. Jack has mixed 12 cups of water with 4

cups of juice concentrate. Angela has made her juice by mixing 10 cups water with

3 cups of juice concentrate.

16. Compare the ratios of juice concentrate to water using ratio tables. State

which beverage has a higher juice concentrate-to-water ratio.

Pages Money

3

Samirah is making recipes for smoothies. Her first recipe calls for 3 cups of

blueberries and 8 cups of other ingredients. Her second recipe says that 2 cups

of blueberries are combined with 7 cups of other ingredients.

17. Which smoothie recipe has more blueberries compared to other ingredients?

Use ratio tables to justify your answer.

Lesson 12

Use double number lines to solve.

18. For every 4 hours babysitting Kristin makes $32. How much money will she

make if she babysits 7 hours?

19. If Justin ran 6 miles in 48 minutes, how long would it take him to run 9 miles at

the same rate?

Lesson 13

During a particular Comic Con event, the ratio of the number of men to the

number of women was 7:2.

20. Use the ratio table provided below to create at least two equations that model

the relationship between the number of men and the number of women attending

the Comic Con event.

4

Lesson 15

A pastry chef from a popular bakery demonstrated how she makes fresh

croissants daily for her restaurant. The recipe for her croissant is below:

4 cups unbleached all-purpose flour 1/2cup cold water 1/2 cup cold whole milk 1/4 cup granulated sugar 3 Tbs. soft unsalted butter 1 Tbs. instant yeast 2-1/4 tsp. table salt

21. Determine the ratio of tablespoons of butter to cups of flour.

22. Provided the information in the table below, complete the table to determine

ordered pairs.

23. Use the ordered pairs to graph the relationship of the number of tablespoons

of better to the number of cups of flour.

!

Butter Flour

3 4

5

Lesson 16

24. Pork roast is on sale at both Super Mart and Grocery Giant. At Super Mart, a

6 lb. roast cost $14.04, and at Grocery Giant an 8 lb. roast costs $19.76. Which

store offers the better deal on pork roast? How do you know? How much better

is the deal?

Lesson 17

25. Ella and her family went on vacation. Her father set the cruise control at 75

miles/hour and drove 4 hours. Ella’s mother took over after a quick stop for lunch

and drove for 5 hours with the cruise control set at 60 miles/hour. How far did

Ella and his family travel altogether?

Lesson 18

26. Felix earns $11 per hour working at a local gourmet donut shop.

a. If Felix worked 14 hours this week, how much money did he earn this

week?

b. If Felix worked for 26.5 hours last week, how much money did he earn

last week?

27. The local ice hockey rink is being prepared for a special event by having

wooden planks placed over raised pallets. The rink is a total of 17,000 square feet

and, volunteers can cover 170 square feet of rink with planking per minute. The

special event will begin in 2 hours. Will the volunteer team have enough time to

complete flooring for the special event? Explain your answer.

6

Lesson 19

Carson is trying to decide which new car to buy. He has narrowed it down to two

models and has decided to use the vehicles gas efficiency to help him determine

which one he should purchase. The more miles a car gets per gallon, the better the

gas efficiency of the car. He found the following gas mileage data online.

28. Based on gas efficiency, which car should Carson buy? Provide support for

your answer.

Lesson 20

The table below shows the amount of money Mallory earns working at Toys Galore.

29. How much does Mallory earn per hour?

Gallons of Gasoline

Miles

5 120

10 240

15 360

20 480

Hours 4 8 12

Pay 52 104 156

7

30. Nancy is the manager of Toys Galore. The amount of money she earns is

represented by the equation: m =21.5h, where ℎ is the number of hours Nancy

works and m is the amount of money she earns. How much more money does

Nancy make an hour than Mallory? Explain your thinking.

Lesson 21

31. 15 ft. = in.

32. 7 yd. = ft.

33. 5100 cm = m

34. Andrew buys a 5-pound bag of his favorite candy. He eats 4 ounces of candy

per day. How many days will this bag of candy?

35. An Aston Martin DB9 weighs 3,880 pounds. How many tons is this? (Hint: Your

answer will be a decimal number.)

Lesson 22

36. Marisol is taking a trip across the US with her family. On the first leg of the

trip, her family traveled at a constant speed of 72 miles per hour. If they traveled

for six hours before stopping, how far did they travel?

37. A rabbit ran 45 yards in 5 seconds. How fast did it run?

38. An F-15 fighter jet travels at a top speed of 1665 miles/hour. If it traveled at

this constant speed for 3 hours, how far would it have traveled?

8

Lesson 23

39. Who walks at a faster rate: someone who walks 84 feet in 12 seconds or

someone who walks 70 feet in 8 seconds?

40. Who walks at a faster rate: someone who walks 72 feet in 12 seconds or

someone who takes 5 seconds to walk 35 feet?

Lesson 24

41. Greg is creating a tri-color wall in his living room. The wall he has chosen to use

is 100 square feet. He will be using red, black and gray on the wall. The

distribution of each color is shown in the table below. Color the model to show how

the distribution. Then complete the table.

42. Rowan has been working on a mural for the

local community center all day. Now, only 40

percent of the wall is left unfinished. Shade the

grid to represent the space that is left to

decorate.

a. What does each block represent?

b. What percent of this wall has been painted?

Color Percentage Fraction Decimal

Red 15%

Black 35%

Gray 50%

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 9

Lesson 25

43. Use the 10 x 10 grid to express the fraction

14

25 as a percent.

44. Use a tape diagram to relate the fraction

14

25 to a percent.

45. How are the diagrams related?

46. What decimal is also related to the fraction?

47. Which diagram is the most helpful for converting the fraction to a decimal?

Explain why.

Lesson 26

48. What is 30% of 70? Create a model to prove your answer.

49. If 25% of a number is 23, what was the original number? Create a model to

prove your answer.

10

50. In a 10 x 10 grid that represents 600, one square represents .

51. Use the grids below to represent 27% and 73% of 600.

27% of 600 is _________. 73% of 600 is _________.

Lesson 27

52. Mr. Thomas has 150 papers. He graded 90 papers, and he had a student

teacher grade the rest. What percent of the papers did each person grade?

53. Mrs. Hewitt has graded 30% of her 180 students’ papers. How many papers

does she still need to finish grading?

Lesson 28

54. The Yum-Yum Baking Company has delivered products to 30 customers so far

this week. If this number represents 20% of the total number of customers the

company is contracted to supply, how many total customers will the company supply

by the end of the week?

27% 73%

11

55. Brandy delivered 45 homemade cards to the local boutique. If the owner has

agreed to sell 15% of the total number of Brandy’s cards, how many cards does

Brandy have in all?

Lesson 29

56. Martin has 12 lawns mowed out of a total of 60 lawns. What percent of the

lawns does Martin still have to mow?

57. Talia got an 75% on her social studies test. She had 30 questions correct.

How many questions were on the test?

58. Wendell read 40% of his book containing 520 pages. What page is he going to read next?

12

Module 1 Review KEY Lessons 1 & 2

Write each ratio two ways.

1. At the fair for every 8 games, there are 6 rides. _8:6_ _8 to 6_

2. At the burger shop, for every 5 chocolate shakes sold,

there are 7 vanilla shakes sold. _5:7_ _5 to 7_

3. Margaret’s recipe calls for 2 eggs and 1 cup of flour. _2:1_ _2 to 1_

Describe a scenario for each ratio.

4. 6 : 1 For every 6 crayons, there is one sharpener.

5. 4 : 9 For every 4 pens, there are 9 pencils.

Lessons 3 & 4

Determine if the ratios are equivalent. If they are, tell the factor relating them. If

they are NOT, create a ratio that would be equivalent.

6. 36 : 54 and 4 : 9 ___Yes _X_No 36:54 with either 4:6 or 6:9

7. 32 : 18 and 16 : 9 _X_Yes ___No The factor is 2.

Lessons 5 & 6

Use tape diagrams ratios to solve each problem.

8. Xochitl is making guacamole. She uses 3 tablespoons of cilantro for every 4

avocados. How many tablespoons of cilantro will she need for 16 avocados?

Since there are 16 avocados represented by 4 boxes

each box must represent 4. Therefore, 3 boxes

worth 4 each would be 12 tablespoons of cilantro.

1

9. Aisha can walk 9 miles in 2 hours. At this rate, how many miles will she walk

during the week if she walks a total of 6 hours?

Since two boxes are used to represent 6 hours, each box must be worth 3. Nine

boxes each worth 3 would equal 27 miles Aisha could walk

Lesson 7

Fill in the table with ratios associated to the given ratio. Remember that equivalent

ratios are NOT the same as associated ratio.

Find the value of each ratio. Then write an equation using the value.

12. With every 162 bead, Diane makes 3 necklaces.

Ratio: Value in lowest terms: Equation:

162:3 162

3=

54

1= 54 b = 54n

Ratio: Value in lowest terms: Equation:

3:162 3

162=

1

54 n =

1

54b or n = b 54

13. Mr. Heimler grades 126 tests in 3 hours.

Ratio: Value in lowest terms: Equation:

126:3 126

3=

42

1 = 42 t = 42h

Ratio: Value in lowest terms: Equation:

3:126 3

126=

1

42 h =

1

42t or h = t 42

Description Ratio Associated Ratio

Part-to-Part

Associated Ratio

Part-to-Whole

10. For every 3 white eggs, there

are 2 brown eggs.

3 : 2 2:3 3:5 or 2:5

11. For every 9 teaspoons of sugar,

there are 4 teaspoons of salt.

9 : 4 4:9 9:13 or 4:13

2

Lessons 9 & 10

Mario has a new job designing websites. He is paid at a rate of $500 for every 2

pages of web content that he builds.

14. Create a ratio table to show the total amount of money Mario has earned in

ratio to the number of pages he has built.

15. Mario is saving up to purchase a used car that costs $4000. How many web

pages will Mario need to build before he can pay for the car?

Mario will need to build 16 web pages before he can pay for the car.

Lesson 11

Jack and Angela are making orange juice. Jack has mixed 12 cups of water with 4

cups of juice concentrate. Angela has made her juice by mixing 10 cups water with

3 cups of juice concentrate.

16. Compare the ratios of juice concentrate to water using ratio tables. State

which beverage has a higher juice concentrate-to-water ratio.

Pages 2 4 6 8 10 12 14 16

Money 500 1000 1500 2000 2500 3000 3500 4000

3

Jack Angela

Water Juice Con.

Water Juice Con.

12 4 10 3

24 8 20 6

36 12 30 9

48 16 40 12

60 20 50 15

Both Jack and Angela have juice concentrate amounts of 12. Jack pairs this 12 cups with 36 cup of water while Angela pairs it with 40 cups of water. Therefore, Jack has the higher juice concentrate to water ratio.

Samirah is making recipes for smoothies. Her first recipe calls for 3 cups of

blueberries and 8 cups of other ingredients. Her second recipe says that 2 cups

of blueberries are combined with 7 cups of other ingredients.

17. Which smoothie recipe has more blueberries compared to other ingredients?

Use ratio tables to justify your answer.

Recipe 1 pairs 6 cups of blueberries with 16 cups of other ingredients while recipe

2 pairs the same 6 cups of blueberries with 21 cups of other ingredients. So, recipe

1 has more blueberries compared to other ingredients.

Lesson 12

Use double number lines to solve.

18. For every 4 hours babysitting Kristin makes $32. How much money will she

make if she babysits 7 hours?

Kristin will make $56 babysitting for 7 hours.

Seven is 3 out of 4 spaces between four and eight. 32 divided into 4 pieces makes

each piece worth 8. Three pieces worth 8 = 24. 24 + 32 = 56

4a

Recipe1 Recipe 2

Blueberries Other Blueberries Other

3 8 2 7

6 16 4 14

9 24 6 21

12 32 8 28

19. If Justin ran 6 miles in 48 minutes, how long would it take him to run 9 miles at

the same rate?

It will take Justin 72 minutes to run 9 miles.

Nine is halfway between 6 and 12. Half of 48 is 24. 48 + 24 = 72

Lesson 13

During a particular Comic Con event, the ratio of the number of men to the

number of women was 7:2.

20. Use the ratio table provided below to create at least two equations that model

the relationship between the number of men and the number of women attending

the Comic Con event.

Men 7 14 21 28 35

Women 2 4 6 8 10

4b

Lesson 15

A pastry chef from a popular bakery demonstrated how she makes fresh

croissants daily for her restaurant. The recipe for her croissant is below:

4 cups unbleached all-purpose flour 1/2cup cold water 1/2 cup cold whole milk 1/4 cup granulated sugar 3 Tbs. soft unsalted butter 1 Tbs. instant yeast 2-1/4 tsp. table salt

21. Determine the ratio of tablespoons of butter to cups of flour.

3:4

22. Provided the information in the table below, complete the table to determine

ordered pairs.

(3,4) (6,8) (9,12) (12,16) (15,20)

23. Use the ordered pairs to graph the relationship of the number of tablespoons

of better to the number of cups of flour.

Butter Flour

3 4

6 8

9 12

12 16

15 20

5

0

2

4

6

8

10

12

14

16

18

20

22

0 3 6 9 12 15 18

Cups

of

Flo

ur

Tablespoons of Butter

Croissant Recipe Ratios

Lesson 16

24. Pork roast is on sale at both Super Mart and Grocery Giant. At Super Mart, a

6 lb. roast cost $14.04, and at Grocery Giant an 8 lb. roast costs $19.76. Which

store offers the better deal on pork roast? How do you know? How much better

is the deal?

$14.04 6 = $2.34 $19.75 8 = $2.47

Therefore, Super Mart has the better deal on pork roast by $0.13/lb.

Lesson 17

25. Ella and her family went on vacation. Her father set the cruise control at 75

miles/hour and drove 4 hours. Ella’s mother took over after a quick stop for lunch

and drove for 5 hours with the cruise control set at 60 miles/hour. How far did

Ella and his family travel altogether?

Ella’s family drove 600 miles altogether.

Dad 75 x 4 = 300 Mom 60 x 5 = 300 300 + 300 = 600

Lesson 18

26. Felix earns $11 per hour working at a local gourmet donut shop.

a. If Felix worked 14 hours this week, how much money did he earn this

week?

Felix earned $154.00 this week.

b. If Felix worked for 26.5 hours last week, how much money did he earn

last week?

Felix earned $291.50 last week.

27. The local ice hockey rink is being prepared for a special event by having

wooden planks placed over raised pallets. The rink is a total of 17,000 square feet

and, volunteers can cover 170 square feet of rink with planking per minute. The

special event will begin in 2 hours. Will the volunteer team have enough time to

complete flooring for the special event? Explain your answer.

Yes, the volunteer team will have enough time.

17000 170 = 100 minutes to lay all the flooring

100 minutes = 1 hour (60 minutes) and 40 minutes

The team has 20 minutes left before the event begins.

6

Lesson 19

Carson is trying to decide which new car to buy. He has narrowed it down to two

models and has decided to use the vehicles gas efficiency to help him determine

which one he should purchase. The more miles a car gets per gallon, the better the

gas efficiency of the car. He found the following gas mileage data online.

120 5 = 24 mpg

110 4 = 27.5 mpg

28. Based on gas efficiency, which car should Carson buy? Provide support for

your answer.

Carson should buy vehicle number 2 because it gets 3.5 more miles per gallon than

vehicle 1.

Lesson 20

The table below shows the amount of money Mallory earns working at Toys Galore.

29. How much does Mallory earn per hour?

Mallory earns $13 per hour.

52 4 = 13

Gallons of Gasoline

Miles

5 120

10 240

15 360

20 480

Hours 4 8 12

Pay 52 104 156

7

30. Nancy is the manager of Toys Galore. The amount of money she earns is

represented by the equation: m =21.5h, where ℎ is the number of hours Nancy

works and m is the amount of money she earns. How much more money does

Nancy make an hour than Mallory? Explain your thinking.

Nancy makes $8.50/hr more than Mallory.

Nancy’s pay per hour is $21.50 and Mallory’s is $13. 21.5 – 13 = 8.5

Lesson 21

31. 15 ft. = 180 in. 15 x 12 = 180

32. 7 yd. = 21 ft. 7 x 3 = 21

33. 5100 cm = 51 m 5100 100

34. Andrew buys a 5-pound bag of his favorite candy. He eats 4 ounces of candy

per day. How many days will this bag of candy?

He has enough candy for 20 days.

1 pound = 16 ounces 16(ounces) x 5(pounds) = 80(ounces) 80 4 = 20

35. An Aston Martin DB9 weighs 3,880 pounds. How many tons is this? (Hint: Your

answer will be a decimal number.)

3880 2000 = 1.94

Lesson 22

36. Marisol is taking a trip across the US with her family. On the first leg of the

trip, her family traveled at a constant speed of 72 miles per hour. If they traveled

for six hours before stopping, how far did they travel?

They traveled 432 miles.

D = rt d = 72 x 6 = 432

37. A rabbit ran 45 yards in 5 seconds. How fast did it run?

The rabbit runs 9 yards per second.

45 5 = 9

38. An F-15 fighter jet travels at a top speed of 1665 miles/hour. If it traveled at

this constant speed for 3 hours, how far would it have traveled?

The jet would travel 4995 miles. 1665 x 3 = 4995

8

Lesson 23

39. Who walks at a faster rate: someone who walks 84 feet in 12 seconds or

someone who walks 70 feet in 8 seconds?

The person walking 70 feet in 8 seconds is walking faster.

84 12 = 7 70 8 = 8.75

40. Who walks at a faster rate: someone who walks 72 feet in 12 seconds or

someone who takes 5 seconds to walk 35 feet?

The person walking 35 feet in 5 seconds is walking faster.

72 12 = 6 35 5 = 8.75

Lesson 24

41. Greg is creating a tri-color wall in his living room. The wall he has chosen to use

is 100 square feet. He will be using red, black and gray on the wall. The

distribution of each color is shown in the table below. Color the model to show how

the distribution. Then complete the table.

42. Rowan has been working on a mural for the

local community center all day. Now, only 40

percent of the wall is left unfinished. Shade the

grid to represent the space that is left to

decorate.

a. What does each block represent

One hundredth or 1%

b. What percent of this wall has been painted?

60% of the wall has been painted.

Color Percentage Fraction Decimal

Red 15% 15

100=

3

20 0.15

Black 35% 35

100=

7

20 0.35

Gray 50% 50

100=

1

2 0.50

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01

0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 9

Lesson 25

43. Use the 10 x 10 grid to express the fraction

14

25 as a percent.

44. Use a tape diagram to relate the fraction

14

25 to a percent.

45. How are the diagrams related?

Both express the same value.

46. What decimal is also related to the fraction?

0.56

47. Which diagram is the most helpful for converting the fraction to a decimal?

Explain why.

Answers will vary depending on the student.

Lesson 26

48. What is 30% of 70? Create a model to prove your answer.

49. If 25% of a number is 23, what was the original number? Create a model to

prove your answer.

10

50. In a 10 x 10 grid that represents 600, one square represents .

51. Use the grids below to represent 27% and 73% of 600.

27% of 600 is __162___. 73% of 600 is ___438___.

Lesson 27

52. Mr. Thomas has 150 papers. He graded 90 papers, and he had a student

teacher grade the rest. What percent of the papers did each person grade?

Mr. Thomas graded 60% of the papers and his student teacher graded 40%.

90

150=

n

100

3

5=

n

100

3 ×20=60

5 ×20=100

53. Mrs. Hewitt has graded 30% of her 180 students’ papers. How many papers

does she still need to finish grading?

Mrs. Hewitt still needs to grade 126 papers. n

180=

70

100

n

180=

7

10

7 ×18=126

10 ×18=180

Lesson 28

54. The Yum-Yum Baking Company has delivered products to 30 customers so far

this week. If this number represents 20% of the total number of customers the

company is contracted to supply, how many total customers will the company supply

by the end of the week?

30

𝑛=

20

100

30

𝑛=

10

50

10 ×3=30

50 ×3=150 They have a total of 150 customers to

supply.

27% 73%

11

55. Brandy delivered 45 homemade cards to the local boutique. If the owner has

agreed to sell 15% of the total number of Brandy’s cards, how many cards does

Brandy have in all?

Brandy has 300 cards in all.

45

𝑛=

15

100

15 ×3=45

100 ×3=300

Lesson 29

56. Martin has 12 lawns mowed out of a total of 60 lawns. What percent of the

lawns does Martin still have to mow?

12

60=

𝑛

100

1

5 =

𝑛

100

1 ×20=20

5 ×20=100

Martin has mowed 20% of the lawns, leaving 80% left to mow.

57. Talia got an 75% on her social studies test. She had 30 questions correct.

How many questions were on the test?

There were 40 question on Talia’s social studies test.

30

𝑛=

75

100

30

𝑛 =

3

4

3 ×10=30

4 ×10=40

58. Wendell read 40% of his book containing 520 pages. What page is he going to read next? The last page Wendell read was 208. Therefore the next page he will read is 209.

n

520=

40

100

n

520=

4

10

4 ×52=208

10 ×52=520

12

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