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06 Feb 2020, 05:35
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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
A. 350
B. 300
C. 358
D. 200
E. 275
shameekv1989
GMAT 3: 720 Q50 V38
Posts: 827
06 Feb 2020, 06:18
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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
Pigs = 6, Carrots ate by pigs = x
Initially - \(\frac{P}{C} = \frac{1}{60 }\)->\(\frac{ 6}{C} = \frac{1}{60} \)-> \(C=360\)
Later - \(\frac{P}{(C-x)} = \frac{3}{1 }\)->\(\frac{ 6}{(360-x)} = 3 \)-> \(2=360-x\) -> \(x=358\) -> Answer - C
A. 350
B. 300
C. 358
D. 200
E. 275
Pigs = 6, Carrots ate by pigs = x
Initially - \(\frac{P}{C} = \frac{1}{60 }\)->\(\frac{ 6}{C} = \frac{1}{60} \)-> \(C=360\)
Later - \(\frac{P}{(C-x)} = \frac{3}{1 }\)->\(\frac{ 6}{(360-x)} = 3 \)-> \(2=360-x\) -> \(x=358\) -> Answer - C
07 Feb 2020, 12:39
Kudos
Bookmarks
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?
We are given that original ratio of P/C = 1/60. We know that there were 6 pigs in the room.
P/C = 1/60 = 6/x.
X = 360 Carrots in the room initially.
New ratio of P/C after carrots were eaten is 1/3. From this we know the number of pigs will stay the same but the number of carrots will change.
6/(360-carrots eaten) = 3/1
Carrots eaten = 358.
Anyone have a quicker way to solve this?
We are given that original ratio of P/C = 1/60. We know that there were 6 pigs in the room.
P/C = 1/60 = 6/x.
X = 360 Carrots in the room initially.
New ratio of P/C after carrots were eaten is 1/3. From this we know the number of pigs will stay the same but the number of carrots will change.
6/(360-carrots eaten) = 3/1
Carrots eaten = 358.
Anyone have a quicker way to solve this?
