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A grocer wants to mix two kinds of candy. One kind sells for $0.95 per pound, and the other sells for $2.50 per pound. He wants to mix a
total of 17 pounds and sell it for $1.30 per pound. How many
pounds of each kind should he use in the new mix? (Round off the answers
to the nearest hundredth.)
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number of pounds of candy that sells for $0.95
number of pounds of candy that sells for $2.50

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sqdancefan

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Answer:

  • 3.84 pounds of $2.50/lb candy
  • 13.16 pounds of $0.95/lb candy

Step-by-step explanation:

Let x represent the number of pounds of $2.50 per pound candy. Then 17-x is the number of pounds of $0.95 per pound candy. The total cost of the mix is ...

  0.95(17 -x) +2.50x = 1.30(17)

  16.15 +1.55x = 22.10 . . . . . . . . . simplify

  1.55x = 5.95 . . . . . . . . . . subtract 16.15

  x ≈ 3.84 . . . . . . . . . divide by 1.55

  17-x = 13.16

The grocer should use 3.84 pounds of $2.50 candy and 13.16 pounds of $0.95 candy.

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