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Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the

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by BTGmoderatorDC » Wed Apr 22, 2020 6:59 pm
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Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room, how many carrots did they eat, total?

A. 350
B. 300
C. 358
D. 200
E. 275


OA C

Source: Manhattan Prep
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Re: Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of th

by Jay@ManhattanReview » Wed Apr 22, 2020 9:31 pm
BTGmoderatorDC wrote: ↑
Wed Apr 22, 2020 6:59 pm
 Initially, the ratio of potbellied pigs to carrots in a room had been 1:60. After the potbellied pigs ate most of the carrots, though, the new ratio was 3:1. If there were 6 potbellied pigs in the room, how many carrots did they eat, total?

A. 350
B. 300
C. 358
D. 200
E. 275

OA C

Source: Manhattan Prep
Given that the ratio of potbellied pigs to carrots in a room had been 1:60, and there were 6 potbellied pigs, the no. of carrots was 360.

Say the 6 pigs ate y no. of carrots.

So, the revised ratio = 6/(360 – y) = 3/1

=> y = 358

The correct answer: C

Hope this helps!

-Jay
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