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Hi SajjadAhmad,

This question can be solved by TESTing VALUES.

IF...
X = 3
Y = 2
Then the total cost of the mixture is (2)($3) + 5($2) = $16 for 7 pounds. Thus, the average price per pound would be 16/7. Since we know that we're looking for a FRACTION with a 7 in the denominator, the correct answer really 'stands out.'

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Answer is E.
BTW, can OA be wrong?
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Answer is E.
BTW, can OA be wrong?

Edited the OA. It's E, not A.
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SajjadAhmad
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 of the mixture in dollars per pound?
(A) 2x + 5y
(B) (2x + 5y)/xy
(C) 5(2x + 5y)
(D) x + y
(E) (2x + 5y)/7

We can use the WEIGHTED AVERAGE formula:
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...

When we COMBINE the meats, the TOTAL weight = 2 + 5 = 7 pounds.
So, veal comprises 2/7 of the TOTAL mixture
Beef comprises 5/7 of the TOTAL mixture

Plug values into formula:

Weighted average of groups combined = (2/7)(x) + (5/7)(y)
= 2x/7 + 5y/7
= (2x + 5y)/7

Answer: E

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