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Comparing and Scaling Problem 1.1 - Ads That Sell. How many people took the taste test?. 17,139 11,426 28,565 5713 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?. Part to whole Part to part Whole to whole.

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Comparing and Scaling Problem 1.1 - Ads That Sell

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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

How many people took the taste test?

  • 17,139

  • 11,426

  • 28,565

  • 5713

  • You can’t tell


Comparing and scaling problem 1 1 ads that sell

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


A ratio is what kind of comparison

A ratio is what kind of comparison?

  • Part to whole

  • Part to part

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

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

How many people preferred Cola Nola?

  • 17,139

  • 11,426

  • 28,565

  • You can’t tell


Comparing and scaling problem 1 1 ads that sell

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


Comparing and scaling problem 1 1 ads that sell

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


Comparing and scaling problem 1 1 ads that sell

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

A percent is what kind of a comparison?

  • Part to part

  • Part to whole

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

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


Comparing and scaling problem 1 1 ads that sell

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey


What part does the percent ask about

What percent of the people surveyed preferred Bolda Cola?

What part does the percent ask about?

  • Bolda

  • Nola

  • Dr. Pepper

  • Mug

  • You can’t tell


Comparing and scaling problem 1 1 ads that sell

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey


Is what percent

is what percent?

  • 50%

  • 60%

  • 70%

  • 80%

  • Not given


Comparing and scaling problem 1 1 ads that sell

What percent of the people surveyed preferred Bolda Cola?

28,565 total people took the survey


Comparing and scaling problem 1 1 ads that sell

What fractional part of the people surveyed preferred Cola Nola?

REMEMBER, 28,565 total people took the survey


A fraction is what kind of a comparison

A fraction is what kind of a comparison?

  • Part to part

  • Part to whole

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

What fractional part of the people surveyed preferred Cola Nola?

28,565 total people took the survey


What part does the question ask about

What “part” does the question ask about?

  • Those who like Bolda Cola

  • Those who like Cola Nola

  • Those who like Dr. Pepper

What fractional part of the people surveyed preferred Cola Nola?


Comparing and scaling problem 1 1 ads that sell

2

5

of those surveyed prefer Cola Nola

What fractional part of the people surveyed preferred Cola Nola?

28,565 total people took the survey


Comparing and scaling problem 1 1 ads that sell

Pd 4

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

The comparison is given in ratio form


A ratio is what kind of comparison1

A ratio is what kind of comparison?

  • Part to whole

  • Part to part

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

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

The comparison is given in ratio form


Which part goes on the top of the ratio

Which part goes on the top of the ratio?

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

  • Bolda

  • Nola

  • A & W

  • Dr. Pepper


Comparing and scaling problem 1 1 ads that sell

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

The comparison is given in ratio form


What is the ratio in simplest terms

What is the ratio in simplest terms?

  • .

  • .

  • .

  • .


Comparing and scaling problem 1 1 ads that sell

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

The comparison is given in ratio form

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


Comparing and scaling problem 1 1 ads that sell

To answer the following

questions, you can only

look at statement #2


Comparing and scaling problem 1 1 ads that sell

  • From statement #2 ---

  • You can only look at statement #2

    • What was the total number of people surveyed?

From the information

given, you can not

determine the total

number surveyed.


Comparing and scaling problem 1 1 ads that sell

  • From statement #2 ---

  • You can only look at statement #2

    • How many more people preferred Bolda Cola?

5,713 -- That's what the statement tells you!!!!


Comparing and scaling problem 1 1 ads that sell

  • From statement #2 ---

  • You can only look at statement #2

    • What percent of the people preferred Bolda Cola?

Since you can not

determine the total

number surveyed, you

can not find a percent!!!


Comparing and scaling problem 1 1 ads that sell

  • From statement #2 ---

  • You can only look at statement #2

    • What fractional part of the people surveyed preferred Cola Nola?

Since you can not

determine the total

number surveyed, you

can not find the fraction!!!


Comparing and scaling problem 1 1 ads that sell

  • 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)

Since you do not know the parts

that give the difference of 5,713

you can not find the ratio!!!


Comparing and scaling problem 1 1 ads that sell

To answer the following

questions, you can only

look at statement #3


Comparing and scaling problem 1 1 ads that sell

  • From statement #3 ---

  • You can only look at statement #3

    • What was the total number of people surveyed?

From the information

given, you can not

determine the total

number surveyed.


Comparing and scaling problem 1 1 ads that sell

  • From statement #3 ---

  • You can only look at statement #3

    • How many more people preferred Bolda Cola?

From the information

given, you can not determine

the answer to this question.


If 60 prefer bolda cola what percent prefer cola nola

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

  • 60%

  • 40%

  • 100%

  • 17.25%


Comparing and scaling problem 1 1 ads that sell

  • 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.


Comparing and scaling problem 1 1 ads that sell

  • From statement #3 ---

  • You can only look at statement #3

    • What fractional part of the people

    • surveyed preferred Cola Nola?

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


What fractional part is the question asking about

What fractional “part” is the question asking about?

  • Cola Nola

  • Coke

  • Bolda Cola

  • Sprite

  • What fractional part of the people surveyed preferred Cola Nola?


Comparing and scaling problem 1 1 ads that sell

  • From statement #3 ---

  • You can only look at statement #3

    • What fractional part of the people

    • surveyed preferred Cola Nola?

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

Percent means “out of 100”


Comparing and scaling problem 1 1 ads that sell

  • 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)

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


A ratio is what kind of comparison2

A ratio is what kind of comparison?

  • Part to whole

  • Part to part

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

  • 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)

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


Comparing and scaling problem 1 1 ads that sell

To answer the following

questions, you can only

look at statement #4


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 #4What was the total number of people surveyed?

  • 5 people

  • 5713 people

  • 23 people

  • You don’t know


Comparing and scaling problem 1 1 ads that sell

  • From statement #4 ---

  • You can only look at statement #4

    • What was the total number of people surveyed?

From the information

given, you can not

determine the total

number surveyed.


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 #4How many more people preferred Bolda Cola?

  • 5 people

  • 1 person

  • 38 people

  • You don’t know


Comparing and scaling problem 1 1 ads that sell

  • From statement #4 ---

  • You can only look at statement #4

    • How many more people preferred Bolda Cola?

From the information

given, you can not

determine the total,

therefore you can not

answer the question.


From statement 4 you can only look at statement 4 what percent of the people preferred bolda cola

From statement #4 ---You can only look at statement #4What percent of the people preferred Bolda Cola?

  • 60%

  • 40%

  • 30%

  • 20%

  • 67%

  • 150%


Comparing and scaling problem 1 1 ads that sell

  • From statement #4 ---

  • You can only look at statement #4

    • What percent of the people preferred Bolda Cola?


A percent is what kind of a comparison1

A percent is what kind of a comparison?

  • Part to part

  • Part to whole

  • Whole to whole


Comparing and scaling problem 1 1 ads that sell

  • From statement #4 ---

  • You can only look at statement #4

    • What percent of the people preferred Bolda Cola?


What is the total in this statement

What is the total in this statement?

  • 3

  • 2

  • 5

  • 32

  • 23


Comparing and scaling problem 1 1 ads that sell

  • From statement #4 ---

  • You can only look at statement #4

    • What percent of the people preferred Bolda Cola?


What fractional part of the people surveyed preferred cola nola

What fractional part of the people surveyed preferred Cola Nola?

  • 2/3

  • 3/2

  • 3/5

  • 2/5

  • You can’t tell


Comparing and scaling problem 1 1 ads that sell

  • 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)


Comparing and scaling problem 1 1 ads that sell

12

.

  • .

  • .

  • .

  • .


Comparing and scaling problem 1 1 ads that sell

.

  • Yes

  • No


Comparing and scaling problem 1 1 ads that sell

  • 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.

  • 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

#1 = #2; #1 = #3; & #1 = #4

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


Comparing and scaling problem 1 1 ads that sell

.

  • 700 BC & 300 CN

  • 600 CN & 400 BC

  • 400 CN & 600 BC

  • 300 BC & 700 CN


Comparing and scaling problem 1 1 ads that sell

.6 x 1000 = 600

400 people preferred Cola Nola


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