BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of...

by AAPL » Fri Aug 14, 2020 4:51 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

GMAT Prep

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of barley to that of oats varies from piglet to piglet, but each piglet is fed some of both grains. How many piglets are there in the litter?

1) Piglet A was fed exactly 1/4 of the oats today
2) Piglet A was fed exactly 1/6 of the barley today

OA C
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of...

by deloitte247 » Sun Aug 16, 2020 1:21 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[b]Given that:[/b] Total food mixture of oat and barley = 0.5 pound
Let the number of oats = o
Let the number of barley = b
o + b = 0.5


[b]Target question =>[/b]How many piglets are in the litter?


[b]Statement 1 =>[/b] Piglet A was fed exactly 1/4 of the oats today
The proportion of barley in the mixture is unknown. Statement 1 is NOT SUFFICIENT


[b]Statement 2 =>[/b] Pig A was fed exactly 1/6 of the barley today
The proportion of oats in the food mixture is unknown and statement 2 is NOT SUFFICIENT


[b]Combining both statements together =>[/b]
Let the total number of piglets = x
From statement 1 and 2 => 1/4 o + 1/6 b = 8/2
3o + 2b/12 = 1/2
3o + 2b = 6 .......eqn 1
For total food
o + b = 0.5 * x
o/0.5 + b/0.5 = 0.5x/0.5
2o + 2b = x ......eqn 2
Subtracting eqn 2 from 1
3o + 2b = 6 - 2o + 2b = x
o = 6 - x
x = 6 - 0


Since oatmeal(o) cannot be 0 and x is expected to be a positive integer
The least possible value of o = 1
if o = 1 then x is 5
Check: 3o + 2b = 6
3(1) + 2b = 6
2b/2 = 6 - 3 = 3/2
b = 1.5
o = 1 and b = 1.5
But if ''o''=2 then x is 4
check 3o + 2b = 6
3(2) + 2b = 6
2b = 6-6
b = 0


This is not possible because the food mixture is expected to have a proportion of barley and oatmeal hence ''o'' cannot be 2 since ''o'' is confirmed to be 1 and x = 5. Both statements together ARE SUFFICIENT


[b]Answer = C[/b]
Top
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of...

by deloitte247 » Sun Aug 16, 2020 1:21 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[b]Given that:[/b] Total food mixture of oat and barley = 0.5 pound
Let the number of oats = o
Let the number of barley = b
o + b = 0.5


[b]Target question =>[/b]How many piglets are in the litter?


[b]Statement 1 =>[/b] Piglet A was fed exactly 1/4 of the oats today
The proportion of barley in the mixture is unknown. Statement 1 is NOT SUFFICIENT


[b]Statement 2 =>[/b] Pig A was fed exactly 1/6 of the barley today
The proportion of oats in the food mixture is unknown and statement 2 is NOT SUFFICIENT


[b]Combining both statements together =>[/b]
Let the total number of piglets = x
From statement 1 and 2 => 1/4 o + 1/6 b = 8/2
3o + 2b/12 = 1/2
3o + 2b = 6 .......eqn 1
For total food
o + b = 0.5 * x
o/0.5 + b/0.5 = 0.5x/0.5
2o + 2b = x ......eqn 2
Subtracting eqn 2 from 1
3o + 2b = 6 - 2o + 2b = x
o = 6 - x
x = 6 - 0


Since oatmeal(o) cannot be 0 and x is expected to be a positive integer
The least possible value of o = 1
if o = 1 then x is 5
Check: 3o + 2b = 6
3(1) + 2b = 6
2b/2 = 6 - 3 = 3/2
b = 1.5
o = 1 and b = 1.5
But if ''o''=2 then x is 4
check 3o + 2b = 6
3(2) + 2b = 6
2b = 6-6
b = 0


This is not possible because the food mixture is expected to have a proportion of barley and oatmeal hence ''o'' cannot be 2 since ''o'' is confirmed to be 1 and x = 5. Both statements together ARE SUFFICIENT


[b]Answer = C[/b]
Top
Post new topic Post Reply
• Page 1 of 1