Day Three Problems: Questions 7-12 (Pink Blocks)

Directions: • Go through each of the slides to check your answers for this part of the homework. • Make sure that you have all the correct notations, as this will be the expectation on your

assessment. • You may also want to practice writing explanations of your work. Be able to show equivalency

between the ratio given and the ratio created! • You should have examples in your notes that we completed in class. Also refer back to the “ACES”

strategy. • Come to class prepared with any questions you may have, as I will give you the opportunity to ask

questions about this assignment prior to taking the assessment.

7) The concession stand at the football game sold hot dogs and Chick-fil-a sandwiches in the ratio of 7:4. They sold 63 more hot dogs than Chick-fil-A chicken sandwiches. What was the total number of hot dogs and Chick-fil-a sandwiches sold?

Hot Dogs

Chicken Sandwiches

?There were 231 hot dogs and chicken sandwiches sold.

The ratio is31 7:4. There are three more thinking blocks for hot dogs than chx. Sandwiches. Since there were 63 more hot dogs sold, you divide that by 3. 63/3 = 21. Each block has a value of 21.

21 x 4 = 84 chicken sandwiches21 x 7 = 147 hot dogs84 + 147 = 231 The ratio 7:4 = 147:84

8) Maddie and Erin collected seashells at the beach. Maddie picked up 5 shells for every 3 that Erin picked up. Together they picked up 128 shells. How many were Erin’s?

Maddie

Erin

128

?

Erin collected 48 shells.

128/8 = 16; each block has a value of 1616 x 3 = 48, so Erin collected 48 shells. The ration 5:3 = 80:48

9) The ratio of squirrels to chipmunks in my back yard is 7:2. There are 72 squirrels and chipmunks living there. How many squirrels live in my back yard?

Squirrels

Chipmunks

72

?

There are 56 squirrels in my back yard.

72/9 = 8, so each block has a value of 8. 8 x 2 = 16 chipmunks8 x 7 = 56 squirrels16 chipmunks + 56 squirrels = 72 chipmunks and squirrels

Squirrels to Chipmunks = 7 to 2 = 56 to 16

10) Mario and Luigi were selling coupon books for the Video Game Club fundraiser. Apparently Mario is a much better salesperson, because he sold 4 times as many coupon books as Luigi. If Luigi sold 12 fewer coupon books than Mario, what was the total number of coupon books that the two boys sold?

Mario

Luigi

?

Mario and Luigi sold a total of 20 coupon books.

Since Mario sold 4 times as many coupon books as Luigi, this can be represented by the ratio 4 to 1.

Luigi sold 12 fewer coupon books than Mario. There are three more blocks for Mario than Luigi, so 12/3 = 4. Each block has a value of 4.

Mario to Luigi = 4 to 1 = 16 to 4

11) Amanda was playing outside and got bitten by mosquitos. She has 3 bites on her legs for every 2 bites on her arms. Thankfully, they didn’t bite her anywhere else! If her legs have 4 more bites than her arms, how many mosquito bites did Amanda get?

Legs

Arms

?

Amanda had a total of 20 mosquito bites.

Since she had 4 more bites on her legs than arms, and there is one more block represented, then each block must have a value of 4.

4 x 2 = 84 x 3 = 12 8 + 12 = 20 bites The ratio 3:2 = 12: 8

12) James’s grandmother gave him money for his birthday. James decided to save some of it and spend the rest, in the ratio of 3:5. He is planning to save $20 less than he is going to spend. How much money did James’s grandmother give him?

Save

Spend

?

James’s grandmother gave him $80.

James will save 20 less than he will spend. Since there are two less blocks then each block must represent a value of 10 (10 + 10 = 20).

10 x 3 = $3010 x 5 = $50$30 + $50 = $80 The ratio 3:5 = 30: 50