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How many pounds of candy that sells for $0.67 per lb must be mixed with candy that sells for $1.33 per lb to
obtain 7 lb of a mixture that should sell for $0.95 per lb?
...

Answer 1

• 4.03 lb of $0.67 candy
• 2.97 lb of $1.33 candy

Explanation:

You want to know the number of pounds each of candy selling for $0.67 and $1.33 per pound to make 7 lb of mix worth $0.95 per lb.

Setup

Let x represent the number of pounds of $1.33 per lb candy. Then the value of the mix is ...

1.33x +0.67(7 -x) = 0.95(7)

Solution

Simplifying the equation gives ...

0.66x +4.69 = 6.65

0.66x = 1.96

x = 1.96/0.66 = 98/33 ≈ 2.97 . . . . . pounds of $1.33 candy

7 -2.97 = 4.03 . . . . . pounds of $0.67 candy

4.03 pounds of $0.67 candy must be mixed with 2.97 pounds of $1.33 candy for 7 pounds of mix worth $0.95 per pound.

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