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Updated on: 25 Feb 2017, 00:01
Originally posted by Sajjad1994 on 22 Feb 2017, 03:32.
Last edited by Bunuel on 25 Feb 2017, 00:01, edited 1 time in total.
Last edited by Bunuel on 25 Feb 2017, 00:01, edited 1 time in total.
Edited the OA.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
83% (01:05) correct
17%
(01:06)
wrong
based on 277
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If a mixture of ground meat consists of 2 pounds of veal that costs x dollars per pound, and 5 pounds of beef that costs y dollars per pound, what is the cost, in dollars, per pound of the mixture?
(A) 2x + 5y
(B) (2x + 5y)/xy
(C) 5(2x + 5y)
(D) x + y
(E) (2x + 5y)/7
(A) 2x + 5y
(B) (2x + 5y)/xy
(C) 5(2x + 5y)
(D) x + y
(E) (2x + 5y)/7
22 Feb 2017, 03:42
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veal = 2lb of $x/lb = $2x;
beef = 5lb of $y/lb = $5y;
Total cost = $(2x+5y)
Total weight = 2 + 5 = 7lb
Cost per lb = $(2x+5y)/7
IMO Answer E.
I think OA A is incorrect.
beef = 5lb of $y/lb = $5y;
Total cost = $(2x+5y)
Total weight = 2 + 5 = 7lb
Cost per lb = $(2x+5y)/7
IMO Answer E.
I think OA A is incorrect.
22 Feb 2017, 05:31
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SajjadAhmad
Since the options have variables, you can plug in some values to get the answer. The values that come immediately to mind are x = 1 and y = 1 i.e. if the cost of both meats is $1 per pound, the cost of the mix would be $1 per pound too.
We see immediately that only (E) gives 1 so it will be the answer.
Or just use the weighted average formula
Cavg = (C1*w1 + C2*w2)/(w1 + w2) = (x * 2 + y * 5)/(2 + 5) = (2x + 5y)/7
Answer (E)
