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Help to resolve proportion

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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Help to resolve proportion

by Fokin » Wed Apr 21, 2010 6:43 pm
How to resolve such proportion:

A snapshot measures 2 1/2 inches by 1 7/8 inches. It is to be enlarged so that the longer dimension will be 4 inches. The length of the enlarged shorter dimension will be

A) 2 1/2
B) 3
C) 3 3/8
D)2 5/8
E) non of these

Right answer - B
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by student22 » Wed Apr 21, 2010 7:02 pm
First convert the dimensions into improper fractions to make the calculations easier: so 2 1/2 becomes 5/2 and 1 7/8 becomes 15/8.

Now realize that when you enlarge a photograph, the ratio of the length and the width remains the same. So, first you find the ratio between the length and width:

5/2 / 15/8 = 4/3. So L/W = 4/3

Now set up a proportion with the new length. 4/3 = 4/x --> x = 3. B.
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