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

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swerve: Legendary Member; Posts: 2579; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Sat Apr 28, 2018 1:30 pm

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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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Source: Beat The GMAT — Problem Solving | Sat Apr 28, 2018 1:30 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

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

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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