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## Official Guide Explanation:Problem Solving #165

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: 165
Page: 84
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Fractions >
Category 2: Word Problems > Other >

Explanation: Given fractions and actual numbers, the goal is almost always to find the relationship between them. In this case, we want to find what fraction of the total that \$10,000 represents. The amount in a government certificate is what's left over aside from the amount in stocks, bonds, and mutual funds, which can be expressed as 1 - (1/2) - (1/4) - (1/5) = (20/20) - (10/20) - (5/20) - (4/20) = ((20 - 10 - 5 - 4)/20) = (1/20). If (1/20) of the total is \$10,000, then:

(1/20)t = 10,000

t = 10,000(20) = 200,000, choice (C).

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