comparing and scaling problem 1.1 - ads that sell
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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. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/1.jpg)
Comparing and Scaling
Problem 1.1 -
Ads That Sell
![Page 2: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/2.jpg)
How many people took the taste test?
1. 17,139
2. 11,426
3. 28,565
4. 5713
5. You can’t tell
![Page 3: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/3.jpg)
From the statement #1, can you tell how many people took the taste test?
![Page 4: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/4.jpg)
A ratio is what kind of comparison?
1. Part to whole
2. Part to part
3. Whole to whole
![Page 5: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/5.jpg)
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.
![Page 6: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/6.jpg)
How many people preferred Cola Nola?
1. 17,139
2. 11,426
3. 28,565
4. You can’t tell
![Page 7: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/7.jpg)
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
![Page 8: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/8.jpg)
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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
![Page 10: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/10.jpg)
What percent of the people surveyed preferred Bolda Cola?
The information is given as a ratio. A ratio is a part to part comparison.
![Page 11: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/11.jpg)
A percent is what kind of a comparison?
1. Part to part
2. Part to whole
3. Whole to whole
![Page 12: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/12.jpg)
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
![Page 13: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/13.jpg)
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
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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?
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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
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is what percent?
1. 50%
2. 60%
3. 70%
4. 80%
5. Not given
565,28
139,17
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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
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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
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A fraction is what kind of a comparison?
1. Part to part
2. Part to whole
3. Whole to whole
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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
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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?
![Page 22: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/22.jpg)
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
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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
![Page 24: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/24.jpg)
A ratio is what kind of comparison?
1. Part to whole
2. Part to part
3. Whole to whole
![Page 25: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/25.jpg)
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
![Page 26: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/26.jpg)
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)
![Page 27: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/27.jpg)
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
![Page 28: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/28.jpg)
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
![Page 29: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/29.jpg)
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!!
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From statement #2 --- You can only look at statement #2
What was the total number of people surveyed?
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From statement #2 --- You can only look at statement #2
How many more people preferred Bolda Cola?
![Page 33: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/33.jpg)
From statement #2 --- You can only look at statement #2
What percent of the people preferred Bolda Cola?
![Page 34: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/34.jpg)
From statement #2 --- You can only look at statement #2
What fractional part of the people surveyed preferred Cola Nola?
![Page 35: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/35.jpg)
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)
![Page 36: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/36.jpg)
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From statement #3 --- You can only look at statement #3
What was the total number of people surveyed?
![Page 38: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/38.jpg)
From statement #3 --- You can only look at statement #3
How many more people preferred Bolda Cola?
![Page 39: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/39.jpg)
If 60% prefer Bolda Cola, what percent prefer Cola Nola?
1. 60%
2. 40%
3. 100%
4. 17.25%
![Page 40: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/40.jpg)
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.
![Page 41: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/41.jpg)
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.
![Page 42: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/42.jpg)
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?
![Page 43: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/43.jpg)
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”
![Page 44: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/44.jpg)
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.
![Page 45: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/45.jpg)
A ratio is what kind of comparison?
1. Part to whole
2. Part to part
3. Whole to whole
![Page 46: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/46.jpg)
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.
![Page 47: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/47.jpg)
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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
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From statement #4 --- You can only look at statement #4
What was the total number of people surveyed?
![Page 50: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/50.jpg)
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
![Page 51: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/51.jpg)
From statement #4 --- You can only look at statement #4
How many more people preferred Bolda Cola?
![Page 52: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/52.jpg)
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%
![Page 53: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/53.jpg)
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
![Page 54: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/54.jpg)
A percent is what kind of a comparison?
1. Part to part
2. Part to whole
3. Whole to whole
![Page 55: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/55.jpg)
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
![Page 56: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/56.jpg)
What is the total in this statement?
1. 3
2. 2
3. 5
4. 32
5. 23
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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
![Page 58: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/58.jpg)
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
![Page 59: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/59.jpg)
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)
![Page 60: Comparing and Scaling Problem 1.1 - Ads That Sell](https://reader035.vdocuments.site/reader035/viewer/2022062314/56814521550346895db1e394/html5/thumbnails/60.jpg)
.
1. .
2. .
3. .
4. .
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.
1. Yes
2. No
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•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.
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.
1. 700 BC & 300 CN
2. 600 CN & 400 BC
3. 400 CN & 600 BC
4. 300 BC & 700 CN
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Cola Bolda 1000%60
Nola Cola 400 Cola Bolda 600 - total 1000
Cola Bolda
600
.6 x 1000 = 600
400 people preferred Cola Nola