How much candy costing $8 a pound should be mixed with 6 pounds of candy costing $10 a pound to create a mixture costing $8.50 a pound?

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asked Dec 27, 2019 37.6k views

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Gdh · Answer 1 · 2020-01-01T13:52:10+0000

Qty · Cost = Total
Candy 1: x $8 = 8x
Candy 2: 6 $10 = 10(6)
Mixture: x + 6 $8.5 = 8x + 10(6)

(x + 6)(8.5) = 8x + 60
8.5x + 51 = 8x + 60
.5x = 9
x = 18

Answer: 18 lbs

How much candy costing $8 a pound should be mixed with 6 pounds of candy costing $10 a pound to create a mixture costing $8.50 a pound?

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