Official Guide Explanation:
Problem Solving #165




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Solution and Metadata

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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