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Together, Andrea and Brian weigh p pounds; Brian weighs 10

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Together, Andrea and Brian weigh p pounds; Brian weighs 10 [#permalink] New post 26 Mar 2008, 02:32
Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, What is Cubby's weight in pounds?

(A) (p/2)-10
(b) (3p/4)-5
(c) (3p/2)-5
(d) (5p/4)-10
(e) (5p)-5

The OA is B.

I can get the answer by plugging, but I would like to have the mathematical explanation.

Thanks. :?
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Re: Weight problem [#permalink] New post 26 Mar 2008, 03:55
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mnjoosub wrote:
Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, What is Cubby's weight in pounds?

(A) (p/2)-10
(b) (3p/4)-5
(c) (3p/2)-5
(d) (5p/4)-10
(e) (5p)-5

The OA is B.

I can get the answer by plugging, but I would like to have the mathematical explanation.

Thanks. :?


A = Adrian's weight
B = Brian's
C = Cubby's

A+B = p ---(1)
B-A = 10 ---(2)
C = A+p/4 ---(3)

(2) -- B=A+10
then substitute B=A+10 into (1)
A+A+10 = p
2A+10 = p
A = (p-10)/2
then substitute A into (3)
C = (p-10)/2 + p/4
C = (2p-20)/4 + p/4
C = (2p-20+p)/4
C = (3p-20)/4
C = (3p/4) - (20/4)
C = (3p/4) -5 --- Answer B
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Re: Weight problem [#permalink] New post 26 Mar 2008, 04:05
Thanks PROV,

My error was from equation 3, where mine was B+C= P/4 + A, where as the proper one should be C=P/4+A as mention in your post.

:lol: :roll:
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Re: Weight problem [#permalink] New post 26 Mar 2008, 12:01
we're told that brian AND cubby weigh p/4 more than andrea ... why is this not b+c = p/4 + a ?
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Re: Weight problem [#permalink] New post 26 Mar 2008, 17:07
pmenon wrote:
we're told that brian AND cubby weigh p/4 more than andrea ... why is this not b+c = p/4 + a ?


My interpretation is that, "brian and adrian" 's dog (cubby) weigh .......
I mean I think cubby is brian and adrian's dog
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Re: Weight problem [#permalink] New post 26 Mar 2008, 20:49
I am with PROV interpretation.

Else C=(p/4)-10, then the question is irrelevant.
Re: Weight problem   [#permalink] 26 Mar 2008, 20:49
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