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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 Presentation
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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