16. A sum of $1,050 is to be divided between Jared and Josh McBride such that Jared receives three equal parts and Josh receives four equal parts (in a ratio of 3 to 4). How much money does each boy receive?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 16: Division of Amount**

A sum of $1,050 is to be divided between Jared and Josh McBride such that Jared receives three equal parts and Josh receives four equal parts (in a ratio of 3 to 4). How much money does each boy receive?

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To solve this problem:

1. **Understand the Ratio**: Jared and Josh's parts are in a ratio of 3:4. This means for every 3 parts Jared gets, Josh receives 4 parts.

2. **Calculate the Total Parts**: Total parts = 3 (Jared) + 4 (Josh) = 7 parts.

3. **Find the Value of One Part**:
   - Total sum = $1,050
   - Value of one part = $1,050 / 7

4. **Calculate Each Person's Share**:
   - Jared's share = 3 parts × value of one part
   - Josh's share = 4 parts × value of one part

This approach ensures the sum is divided accurately according to the specified ratio.
Transcribed Image Text:**Problem 16: Division of Amount** A sum of $1,050 is to be divided between Jared and Josh McBride such that Jared receives three equal parts and Josh receives four equal parts (in a ratio of 3 to 4). How much money does each boy receive? --- To solve this problem: 1. **Understand the Ratio**: Jared and Josh's parts are in a ratio of 3:4. This means for every 3 parts Jared gets, Josh receives 4 parts. 2. **Calculate the Total Parts**: Total parts = 3 (Jared) + 4 (Josh) = 7 parts. 3. **Find the Value of One Part**: - Total sum = $1,050 - Value of one part = $1,050 / 7 4. **Calculate Each Person's Share**: - Jared's share = 3 parts × value of one part - Josh's share = 4 parts × value of one part This approach ensures the sum is divided accurately according to the specified ratio.
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