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Official Guide Explanation:
Problem Solving #162
Background
This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th 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.
Click here for an example of the PDF booklets. Click here to purchase a PDF copy.
Solution and Metadata
Question: 162
Page: 175
Difficulty: 5 (Moderate)
Category 1: Word Problems > Rate Problems > other
Category 2: Arithmetic > Ratio and Proportion >
Explanation: Whenever you're given a part - to - part ratio (like the applies : peaches : grapes ratio in this question) it implies a part - to - whole ratio. For instance, for every six pounds of apples, there's 6 + 5 + 2 = 13 pounds total. Thus, if there are 39 total pounds, you can set up a ratio to find out the total number of apples: (6/13) = ((x)/39) , or x = 18. Do the same for grapes: (2/13) = ((x)/39), or x = 6. So, there are 18 - 6 = 12 more pounds of apples than grapes, choice (B). Note that you don't have to set up the ratio: if you realize that the parts add up to 13 and the total weight is 39, you may realize that you can simply triple the numbers in the ratio for the actual weight of each type of fruit.
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