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## Official Guide Explanation:Problem Solving #82

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Question: 82
Page: 72
Difficulty: 5 (Moderate)
Category 1: Word Problems > Rate Problems > other
Category 2: Arithmetic > Ratio and Proportion >

Explanation: If the three partners shared in profits in the ratio 2:5:8, then the sum of their shares can be included in the ratio as 2:5:8:(2 + 5 + 8), or 2:5:8:15. We can use that number to use a specific ratio, such as the relationship between Q's share and the total profits: 2:15. Since Q's share was \$4,000, we can set up an equation:

(2/15) = ((4,000)/(x))

2x = 4,000(15)

x = 2,000(15) = 30,000, choice (B).

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