If a certain dog ate 1/5 of his food on a certain day

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If a certain dog ate 1/5 of his food on a certain day, what was the ratio of the portion of food eaten to the portion uneaten?

A. 5:1
B. 4:1
C. 2:3
D. 1:5
E. 1:4

The OA is E.

If a dog ate 1/5 of his food on a certain day, then 4/5 was uneaten.

Thus the ratio of eaten to uneaten food is:
(1/5)/(4/5) = 5/20 = 1/4.

Option E.

Has anyone a different suggestion to solve this PS question?

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by Brent@GMATPrepNow » Sun Apr 29, 2018 5:05 am
swerve wrote:If a certain dog ate 1/5 of his food on a certain day, what was the ratio of the portion of food eaten to the portion uneaten?

A. 5:1
B. 4:1
C. 2:3
D. 1:5
E. 1:4

The OA is E.

If a dog ate 1/5 of his food on a certain day, then 4/5 was uneaten.

Thus the ratio of eaten to uneaten food is:
(1/5)/(4/5) = 5/20 = 1/4.

Option E.

Has anyone a different suggestion to solve this PS question?
Your approach is great.
Another approach would be to choose some numbers that satisfy the given conditions.

. . . a certain dog ate 1/5 of his food on a certain day
So, let's say the dog had 5 pounds of food available.
If the dog ate 1/5 of its food, then it ate 1/5 of 5 pounds.
So, the dog ATE 1 pound of food.
We can also conclude that the UNEATEN portion = 5 pounds - 1 pound = 4 pounds

. . . what was the ratio of the portion of food eaten to the portion uneaten?
ratio = 1/4

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Jeff@TargetTestPrep » Wed May 02, 2018 9:30 am
swerve wrote:If a certain dog ate 1/5 of his food on a certain day, what was the ratio of the portion of food eaten to the portion uneaten?

A. 5:1
B. 4:1
C. 2:3
D. 1:5
E. 1:4
Since the eaten portion is 1/5, the uneaten portion is 4/5. Therefore, the ratio of the eaten portion to the uneaten portion is (1/5)/(4/5) = 1/4, or 1:4.

Answer: E

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