### Taste Test Results of Fruit Drink Preferences Among TeenagersA random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table below shows the results of this taste test.#### Table of Preferences| | A | B | C | D | Total ||-----|----|----|----|----|-------|| Boys | 45 | 25 | 30 | 20 | 120 || Girls | 25 | 10 | 30 | 15 | 80 || **Total** | **70** | **35** | **60** | **35** | **200** |The table displays the number of boys and girls who preferred each fruit drink.#### Questions Based on the DataBased on the information given, which of the given statements is true?1. 50% of the participants were girls.2. 70% of the participants preferred A.3. $\frac{20}{120}$ of the boys preferred D.4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.#### Explanation of Statements**1. 50% of the participants were girls.** - This is incorrect. There are 80 girls out of a total of 200 participants, which amounts to 40%.**2. 70% of the participants preferred A.** - This is incorrect. 70 out of 200 participants preferred fruit drink A, which is 35%.**3. $\frac{20}{120}$ of the boys preferred D.** - This is correct. 20 out of 120 boys preferred fruit drink D, simplifying to $\frac{20}{120} = \frac{1}{6}$.**4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.** - This is correct. 25 out of 120 boys (ratio $\frac{25}{120} = \frac{5}{24}$) preferred fruit drink B, and 25 out of 80 girls (ratio $\frac{25}{80} = \frac{5}{24}$) preferred fruit drink A.This information can help educators create activities to better understand data analysis and interpretation

Total number of teen-ager participated = 200 Number of taste of fruit drinks are 4

A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table shows the results of this taste test. B. Total Вoys 45 25 30 20 120 Girls 25 10 30 15 80 Total 70 35 60 35 200 Based on the information given, which of the given statements is true? 1. 50% of the participants were girls. 2. 70% of the participants preferred A. 3. of the boys preferred D. 4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.

A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table shows the results of this taste test. B. Total Вoys 45 25 30 20 120 Girls 25 10 30 15 80 Total 70 35 60 35 200 Based on the information given, which of the given statements is true? 1. 50% of the participants were girls. 2. 70% of the participants preferred A. 3. of the boys preferred D. 4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Taste Test Results of Fruit Drink Preferences Among Teenagers

A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table below shows the results of this taste test.

#### Table of Preferences

| | A | B | C | D | Total |
|-----|----|----|----|----|-------|
| Boys | 45 | 25 | 30 | 20 | 120 |
| Girls | 25 | 10 | 30 | 15 | 80 |
| **Total** | **70** | **35** | **60** | **35** | **200** |

The table displays the number of boys and girls who preferred each fruit drink.

#### Questions Based on the Data

Based on the information given, which of the given statements is true?

1. 50% of the participants were girls.
2. 70% of the participants preferred A.
3. $\frac{20}{120}$ of the boys preferred D.
4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.

#### Explanation of Statements

**1. 50% of the participants were girls.**
- This is incorrect. There are 80 girls out of a total of 200 participants, which amounts to 40%.

**2. 70% of the participants preferred A.**
- This is incorrect. 70 out of 200 participants preferred fruit drink A, which is 35%.

**3. $\frac{20}{120}$ of the boys preferred D.**
- This is correct. 20 out of 120 boys preferred fruit drink D, simplifying to $\frac{20}{120} = \frac{1}{6}$.

**4. The ratio of boys who preferred B is equal to the ratio of girls who preferred A.**
- This is correct. 25 out of 120 boys (ratio $\frac{25}{120} = \frac{5}{24}$) preferred fruit drink B, and 25 out of 80 girls (ratio $\frac{25}{80} = \frac{5}{24}$) preferred fruit drink A.

This information can help educators create activities to better understand data analysis and interpretation

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