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04 May 2017, 01:58
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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:
5%
(low)
Question Stats:
92% (01:31) correct
8%
(02:29)
wrong
based on 132
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If 2 pounds of almonds that cost c dollars per pound are mixed with 4 pounds of peanuts that cost b dollars per pound and 5 pounds of cashews that cost 2c + b dollars per pound, what is the average (arithmetic mean) cost, in dollars, per pound of the mixture?
A. 11/(c + b)
B. 40/(b + c)
C. 11(c + b)/9
D. 12(b + c)/11
E. (12c + 9b)/11
A. 11/(c + b)
B. 40/(b + c)
C. 11(c + b)/9
D. 12(b + c)/11
E. (12c + 9b)/11
04 May 2017, 02:43
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Average cost = \(\frac{(2*c + 4*b + 5(2c+b))}{(2+4+5)}\)
=\(\frac{(2c + 4b + 10c + 5b)}{11}\)
=\(\frac{(12c + 9b)}{11}\) (Option E)
=\(\frac{(2c + 4b + 10c + 5b)}{11}\)
=\(\frac{(12c + 9b)}{11}\) (Option E)
04 May 2017, 02:59
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Total Price = 2c+4b+5(2c+b) = 2c + 4b+ 10c + 5b = 12c + 9b
Total weight = 2 + 5 +4 = 11
Therefore Price per pound = (12c + 9b)/11
Option E
Total weight = 2 + 5 +4 = 11
Therefore Price per pound = (12c + 9b)/11
Option E
