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## Official Guide Explanation:Problem Solving #167

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: 167
Page: 84
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Fractions >
Category 2: Word Problems > Other >

Explanation: You don't have to analyze the information given you to in the order you receive it; this is a good example of a question in which it is more direct to work backwards. If Z received 24,000 votes and Y received (1/4) fewer votes than Z did, Y received (3/4)(24,000) = 3(6,000) = 18,000 votes. If Y received 18,000 votes and X received (1/3) more, that's 18,000 + (1/3)(18,000) = 18,000 + 6,000 = 24,000, choice (C).

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