Comparing and Scaling Problem 1.1 - Ads That Sell

Comparing and Scaling

Problem 1.1 -

Ads That Sell

How many people took the taste test?

1. 17,139

2. 11,426

3. 28,565

4. 5713

5. You can’t tell

From the statement #1, can you tell how many people took the taste test?

A ratio is what kind of comparison?

1. Part to whole

2. Part to part

3. Whole to whole

From the statement #1, can you tell how many people took the taste test?

A ratio is a part to part comparison.

Since Bolda comes first in the statement and 17,139 is the first number in the statement, 17,139 people preferred Bolda Cola.

How many people preferred Cola Nola?

1. 17,139

2. 11,426

3. 28,565

4. You can’t tell

From the statement #1, can you tell how many people took the taste test?

A ratio is a part to part comparison.

Since Bolda comes first in the statement and 17,139 is the first number in the ratio, 17,139 people preferred Bolda Cola.

That means 11,426 people preferred Cola Nola

From the statement #1, can you tell how many people took the taste test?

Bolda + Nola = Total

17,139 + 11,426 = 28,565

28,565 total people took the survey

What percent of the people surveyed preferred Bolda Cola?

The information is given as a ratio. A ratio is a part to part comparison.

A percent is what kind of a comparison?

1. Part to part

2. Part to whole

3. Whole to whole

What percent of the people surveyed preferred Bolda Cola?

The information is given as a ratio. A ratio is a part to part comparison.

A percent is a is a part to whole comparison.

If 17,139 and 11,426 are the 2 parts, what is the whole?

17,139 + 11,426 = 28,565

28,565 total people took the survey

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey

60% %total

Bolda

whole

part Percent

565,28

139,17

What part does the percent ask about?

1. Bolda

2. Nola

3. Dr. Pepper

4. Mug

5. You can’t tell

What percent of the people surveyed preferred Bolda Cola?

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey

60% %total

Bolda

whole

part Percent

565,28

139,17

is what percent?

1. 50%

2. 60%

3. 70%

4. 80%

5. Not given

565,28

139,17

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey

60% .6 28,56517,139 total

Bolda

whole

part Percent

565,28

139,17

What fractional part of the people surveyed preferred Cola Nola?

REMEMBER, 28,565 total people took the survey

Simp 10

4 F .4 D

Total

Nola

whole

part Fraction

565,28

426,11

A fraction is what kind of a comparison?

1. Part to part

2. Part to whole

3. Whole to whole

What fractional part of the people surveyed preferred Cola Nola?

28,565 total people took the survey

Simp 10

4 F .4 D

Total

Nola

whole

part Fraction

565,28

426,11

What “part” does the question ask about?

1. Those who like Bolda Cola

2. Those who like Cola Nola

3. Those who like Dr. Pepper

What fractional part of the people surveyed preferred Cola Nola?

What fractional part of the people surveyed preferred Cola Nola?

28,565 total people took the survey

5

2 Simp

10

4 .4

Total

Nola

whole

part Fraction

565,28

426,11

What is the ratio of those surveyed that preferred Bolda Cola to those that preferred Cola Nola in

simplest form? (reduced)

2

3 simp

10

15F1.5

Nola

Bolda

part

part Ratio

426,11

139,17

The comparison is given in ratio form

Pd 4

A ratio is what kind of comparison?

1. Part to whole

2. Part to part

3. Whole to whole

What is the ratio of those surveyed that preferred Bolda Cola to those that preferred Cola Nola in

simplest form? (reduced)

2

3 simp

10

15F1.5

Nola

Bolda

part

part Ratio

426,11

139,17

The comparison is given in ratio form

Which part goes on the top of the ratio?

1. Bolda

2. Nola

3. A & W

4. Dr. Pepper

What is the ratio of those surveyed that preferred Bolda Cola to those that preferred Cola Nola in

simplest form? (reduced)

What is the ratio of those surveyed that preferred Bolda Cola to those that preferred Cola Nola in

simplest form? (reduced)

2

3 simp

10

15F1.5

Nola

Bolda

part

part Ratio

426,11

139,17

The comparison is given in ratio form

What is the ratio in simplest terms?

1. .

2. .

3. .

4. .

426,11

139,17.4

371

417.3

2

3.2

5

8.1 426,11

139,17

Nola

Bolda

part

part Ratio

What is the ratio of those surveyed that preferred Bolda Cola to those that preferred Cola Nola in

simplest form? (reduced)

2

3 simp

10

15

10

51 1.5

Nola

Bolda

part

part Ratio

426,11

139,17

The comparison is given in ratio form

Ratios must be written with a number on top and a number on the bottom!!

From statement #2 --- You can only look at statement #2

What was the total number of people surveyed?

From statement #2 --- You can only look at statement #2

How many more people preferred Bolda Cola?

From statement #2 --- You can only look at statement #2

What percent of the people preferred Bolda Cola?

From statement #2 --- You can only look at statement #2

What fractional part of the people surveyed preferred Cola Nola?

From statement #2 --- You can only look at statement #2

What is the ratio of those that preferred Bolda Cola to those that preferred Cola Nola in simplest form? (reduced)

From statement #3 --- You can only look at statement #3

What was the total number of people surveyed?

From statement #3 --- You can only look at statement #3

How many more people preferred Bolda Cola?

If 60% prefer Bolda Cola, what percent prefer Cola Nola?

1. 60%

2. 40%

3. 100%

4. 17.25%

From statement #3 --- You can only look at statement #3

What percent of the people preferred Bolda Cola?

If 60% prefer Bolda Cola, then

100% - 60% = 40% prefer Nola Cola.

From statement #3 --- You can only look at statement #3

What fractional part of the people surveyed preferred Cola Nola?

5

2

10

4

100

40

total

Nola Cola

whole

part fraction

If 60% prefer Bolda Cola, then 40% prefer Nola Cola.

What fractional “part” is the question asking about?

1. Cola Nola

2. Coke

3. Bolda Cola

4. Sprite

What fractional part of the people surveyed preferred Cola Nola?

From statement #3 --- You can only look at statement #3

What fractional part of the people surveyed preferred Cola Nola?

5

2

10

4

100

40

total

Nola Cola

whole

part fraction

If 60% prefer Bolda Cola, then 40% prefer Nola Cola.

Percent means “out of 100”

From statement #3 --- You can only look at statement #3

What is the ratio of those that preferred Bolda Cola to those that preferred Cola Nola in simplest form?

(reduced)

2

3

4

6

4.

6.

%40

%60

Nola Cola

Cola Bolda

part

part ratio

If 60% prefer Bolda Cola, then 40% prefer Nola Cola.

A ratio is what kind of comparison?

1. Part to whole

2. Part to part

3. Whole to whole

From statement #3 --- You can only look at statement #3

What is the ratio of those that preferred Bolda Cola to those that preferred Cola Nola in simplest form?

(reduced)

2

3

4

6

4.

6.

%40

%60

Nola Cola

Cola Bolda

part

part ratio

If 60% prefer Bolda Cola, then 40% prefer Nola Cola.

From statement #4 --- You can only look at statement #4

What was the total number of people surveyed?

1. 5 people

2. 5713 people

3. 23 people

4. You don’t know

From statement #4 --- You can only look at statement #4

What was the total number of people surveyed?

From statement #4 --- You can only look at statement #4How many more people preferred

Bolda Cola?1. 5 people

2. 1 person

3. 38 people

4. You don’t know

From statement #4 --- You can only look at statement #4

How many more people preferred Bolda Cola?

From statement #4 --- You can only look at statement #4

What percent of the people preferred Bolda Cola?

1. 60%

2. 40%

3. 30%

4. 20%

5. 67%

6. 150%

From statement #4 --- You can only look at statement #4

What percent of the people preferred Bolda Cola?

60% %Total

Bolda

whole

part percent

5

3

A percent is what kind of a comparison?

1. Part to part

2. Part to whole

3. Whole to whole

From statement #4 --- You can only look at statement #4

What percent of the people preferred Bolda Cola?

60% %Total

Bolda

whole

part percent

5

3

What is the total in this statement?

1. 3

2. 2

3. 5

4. 32

5. 23

From statement #4 --- You can only look at statement #4

What percent of the people preferred Bolda Cola?

60% 10

6

Total

Bolda

whole

part percent

5

3

What fractional part of the people surveyed preferred Cola Nola?

1. 2/3

2. 3/2

3. 3/5

4. 2/5

5. You can’t tell

From statement #4 --- You can only look at statement #4

What is the ratio of those that preferred Bolda Cola to those that preferred Cola Nola in simplest form? (reduced)

.

1. .

2. .

3. .

4. .

.

1. Yes

2. No

•Yes, the difference in statement #2 is the same as the difference in # 1

•If you change the data in #1 into the percent that preferred Bolda, the answer is 60%, the same as #3

2

3

•If you change the data in #1 into the ratio of those that preferred Bolda to those that preferred Nola, the reduced form would be

The same as #4.

Therefore all of the statements COULD have come from the same data.

.

1. 700 BC & 300 CN

2. 600 CN & 400 BC

3. 400 CN & 600 BC

4. 300 BC & 700 CN

Cola Bolda 1000%60

Nola Cola 400 Cola Bolda 600 - total 1000

Cola Bolda

600

.6 x 1000 = 600

400 people preferred Cola Nola