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Half of a large pizza is cut into 4 equal-sized pieces, and

Expert replies
by BTGmoderatorLU » Sat Oct 19, 2019 1:35 am
Source: Official Guide

Half of a large pizza is cut into 4 equal-sized pieces and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and two of the smaller pieces, what fraction of the pizza would remain uneaten?

A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24

The OA is E
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Source: — Problem Solving |

pizza

by GMATGuruNY » Sat Oct 19, 2019 2:05 am
BTGmoderatorLU wrote:Source: Official Guide

Half of a large pizza is cut into 4 equal-sized pieces and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and two of the smaller pieces, what fraction of the pizza would remain uneaten?

A. 5/12
B. 13/24
C. 7/12
D. 2/3
E. 17/24
Let the pizza = 24 ounces.

Half of a large pizza is cut into 4 equal-sized pieces.
Here, 12 ounces of the pizza are divided into 4 larger pieces, with the result that the weight of each larger piece = 12/4 = 3 ounces.

The other half is cut into 6 equal-sized pieces.
Here, the remaining 12 ounces are divided into 6 smaller pieces, with the result that the weight of each smaller piece = 12/6 = 2 ounces.

If a person were to eat 1 of the larger pieces and two of the smaller pieces, what fraction of the pizza would remain uneaten?
1 larger piece + 2 smaller pieces = 3 + (2*2) = 7 ounces.
Weight uneaten = (total weight) - (weight eaten) = 24-7 = 17 ounces.
(weight uneaten)/(total weight) = 17/24.

The correct answer is E.
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