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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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slide1

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?
  • Part to whole
  • Part to part
  • Whole to whole
slide5

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
slide7

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

slide9

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

slide10

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
slide12

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

is what percent
is what percent?
  • 50%
  • 60%
  • 70%
  • 80%
  • Not given
slide18

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
slide20

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?

slide22

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

slide23

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
slide25

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
slide27

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

slide29

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!!

slide30

To answer the following

questions, you can only

look at statement #2

slide31

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.

slide32

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!!!!

slide33

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!!!

slide34

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!!!

slide35

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!!!

slide36

To answer the following

questions, you can only

look at statement #3

slide37

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.

slide38

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.

slide40

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.

slide41

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?
slide43

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”

slide44

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
slide46

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.

slide47

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
slide49

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
slide51

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%
slide53

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
slide55

From statement #4 ---

  • You can only look at statement #4
    • What percent of the people preferred Bolda Cola?
slide57

From statement #4 ---

  • You can only look at statement #4
    • What percent of the people preferred Bolda Cola?
slide59

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)
slide60

12

.
  • .
  • .
  • .
  • .
slide61
.
  • Yes
  • No
slide62

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.

slide63
.
  • 700 BC & 300 CN
  • 600 CN & 400 BC
  • 400 CN & 600 BC
  • 300 BC & 700 CN
slide64

.6 x 1000 = 600

400 people preferred Cola Nola

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