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How many pounds of candy that sells for ​$0.64 per lb must be mixed with candy...

How many pounds of candy that sells for ​$0.64 per lb must be mixed with candy that sells for ​$1.19 per lb to obtain 9 lb of a mixture that should sell for ​$0.91 per​ lb?

Math   Prealgebra   
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Answer #1

Let, the number of pounds of candy 1 be x

Selling price of candy 1 is $0.64/lb

Total amount for which candy 1 is sold is 0.64x

The number of pounds of candy 2 be 9-x

Selling price of candy 2 is $1.19/lb

Total amount for which candy 2 is sold is 1.19(9-x)

Total amount for which the mixture is sold is 9(0.91)=$8.19

Equate the selling price of each

That is

Hence, 4.6182 pounds of candy 1 must be mixed with 4.3818 pounds of candy 2 to get a mixture of 9 pounds that sells for $0.91/lb

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