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Q.

If 6 pounds of nuts that cost 1.20 dollar per pound are mixed with 2 pounds of nuts that cost 1.60 dollar per pound, what is the cost per pound of the mixture?

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a

1.30 dollar

b

1.80 dollar

c

1.40 dollar

d

1.60 dollar

answer is A.

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Detailed Solution

Concept- By first figuring out the overall cost of the mixture and then dividing that sum by the mixture's weight, the cost of the combination can be computed. We can get the total cost by multiplying the cost per pound by the weight of the nuts because the cost per pound is provided in the question.
The total cost of the 8 pounds of mixed nuts is calculated as-
6(1.20) +2(1.60) =10.40
The above cost is for 8 pounds of nuts , thus the cost per pound of the mixture is -
The cost per pound of the mixture is

\frac{10.40}{8}

=1.30
Hence, the correct option is 1.

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