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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


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



A ratio is what kind of comparison
A ratio is what kind of comparison? taste test?

  • Part to whole

  • Part to part

  • 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
How many people preferred Cola Nola? taste test?

  • 17,139

  • 11,426

  • 28,565

  • 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? taste test?

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? taste test?

  • Part to part

  • Part to whole

  • Whole to whole


What percent of the people surveyed preferred Bolda Cola? taste test?

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? taste test?

28,565 total people took the survey


What part does the percent ask about

What percent of the people surveyed preferred Bolda Cola? taste test?

What part does the percent ask about?

  • Bolda

  • Nola

  • Dr. Pepper

  • Mug

  • You can’t tell


What percent of the people surveyed preferred Bolda Cola? taste test?

28,565 total people took the survey


Is what percent
is what percent? taste test?

  • 50%

  • 60%

  • 70%

  • 80%

  • Not given


What percent of the people surveyed preferred Bolda Cola? taste test?

28,565 total people took the survey


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? Nola?

  • Part to part

  • Part to whole

  • Whole to whole


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? Nola?

  • 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?


2 Nola?

5

of those surveyed prefer Cola Nola

What fractional part of the people surveyed preferred Cola Nola?

28,565 total people took the survey


Pd 4 Nola?

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? Nola?

  • Part to whole

  • Part to part

  • Whole to whole


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? 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)

  • Bolda

  • Nola

  • A & W

  • Dr. Pepper


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? 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)

The comparison is given in ratio form

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


To answer the following Cola to those that preferred Cola Nola in simplest form? (reduced)

questions, you can only

look at statement #2


  • From statement #2 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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.


  • From statement #2 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • You can only look at statement #2

    • How many more people preferred Bolda Cola?

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


  • From statement #2 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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!!!


  • From statement #2 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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!!!


  • From statement #2 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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!!!


To answer the following Cola to those that preferred Cola Nola in simplest form? (reduced)

questions, you can only

look at statement #3


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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.


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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? Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 60%

  • 40%

  • 100%

  • 17.25%


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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 to those that preferred Cola Nola in simplest form? (reduced)

  • Cola Nola

  • Coke

  • Bolda Cola

  • Sprite

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


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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”


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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? Cola to those that preferred Cola Nola in simplest form? (reduced)

  • Part to whole

  • Part to part

  • Whole to whole


  • From statement #3 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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.


To answer the following Cola to those that preferred Cola Nola in simplest form? (reduced)

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 --- Cola to those that preferred Cola Nola in simplest form? (reduced) You can only look at statement #4What was the total number of people surveyed?

  • 5 people

  • 5713 people

  • 23 people

  • You don’t know


  • From statement #4 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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 --- Cola to those that preferred Cola Nola in simplest form? (reduced) You can only look at statement #4How many more people preferred Bolda Cola?

  • 5 people

  • 1 person

  • 38 people

  • You don’t know


  • From statement #4 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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 --- Cola to those that preferred Cola Nola in simplest form? (reduced) You can only look at statement #4What percent of the people preferred Bolda Cola?

  • 60%

  • 40%

  • 30%

  • 20%

  • 67%

  • 150%


  • From statement #4 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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? Cola to those that preferred Cola Nola in simplest form? (reduced)

  • Part to part

  • Part to whole

  • Whole to whole


  • From statement #4 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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? Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 3

  • 2

  • 5

  • 32

  • 23


  • From statement #4 --- Cola to those that preferred Cola Nola in simplest form? (reduced)

  • 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


  • From statement #4 --- Nola?

  • 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)


12 Nola?

.

  • .

  • .

  • .

  • .


. Nola?

  • Yes

  • 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

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

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


. preferred Bolda to those that preferred Nola, the reduced form would be

  • 700 BC & 300 CN

  • 600 CN & 400 BC

  • 400 CN & 600 BC

  • 300 BC & 700 CN


.6 x 1000 = 600 preferred Bolda to those that preferred Nola, the reduced form would be

400 people preferred Cola Nola


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