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## Official Guide Explanation:Problem Solving #124

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: 124
Page: 77
Difficulty: 6 (Moderately Difficult)
Category 1: Word Problems > Rate Problems > other
Category 2: Algebra > Equations >
Category 3: Arithmetic > Ratio and Proportion >

Explanation: To find the difference in price person between the cost when 10 people share it and when 16 people share it, first find the cost in each case. If the total cost is x and 10 people take the trip, the cost per person is ((x)/10). If 16 people take the trip, the cost per person is ((x)/16). The difference, then, is ((x)/10) - ((x)/16) = ((8x)/80) - ((5x)/80) = ((3x)/80), choice (E).

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