**Title: Analyzing Ice Cream Preferences Among Elementary School Children**A survey conducted with 392 children at a local elementary school produced the following results regarding ice cream preferences:- 175 children like chocolate ice cream.- 125 children like pistachio ice cream.- 142 children do not like either chocolate or pistachio ice cream.**Question:**How many children like at most one kind of ice cream mentioned in the survey?**Options:**- 125- 75- 267- 342- 300- None of the above**Explanation:**To find how many children like at most one kind of ice cream, we need to consider those who either like only chocolate, only pistachio, or do not like either.Using the principle of inclusion-exclusion:1. Total number of children = 3922. Children liking neither = 142Let x be the number of children who like both flavors.Using the formula:Children who like at least one kind = (chocolate) + (pistachio) - (both)Therefore, 392 - 142 = 175 + 125 - x.Combining:250 - x = 250 - x.Solve for x to find children liking only one type. Subtract those who like both from the sum liking each individually.The correct data will provide insights into the ice cream preferences and determine the possible overlap in choices.

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vey of 392 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 142 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentioned in the ay? 25 5 67 42 00 lone of the above.

vey of 392 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 142 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentioned in the ay? 25 5 67 42 00 lone of the above.

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

**Title: Analyzing Ice Cream Preferences Among Elementary School Children**

A survey conducted with 392 children at a local elementary school produced the following results regarding ice cream preferences:

- 175 children like chocolate ice cream.
- 125 children like pistachio ice cream.
- 142 children do not like either chocolate or pistachio ice cream.

**Question:**
How many children like at most one kind of ice cream mentioned in the survey?

**Options:**
- 125
- 75
- 267
- 342
- 300
- None of the above

**Explanation:**

To find how many children like at most one kind of ice cream, we need to consider those who either like only chocolate, only pistachio, or do not like either.

Using the principle of inclusion-exclusion:
1. Total number of children = 392
2. Children liking neither = 142

Let x be the number of children who like both flavors.

Using the formula:

Children who like at least one kind = (chocolate) + (pistachio) - (both)

Therefore, 392 - 142 = 175 + 125 - x.

Combining:
250 - x = 250 - x.

Solve for x to find children liking only one type. Subtract those who like both from the sum liking each individually.

The correct data will provide insights into the ice cream preferences and determine the possible overlap in choices.

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