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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01-06-2018
Mathematics

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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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tramserran tramserran · Answer 1 · 2018-06-01T13:27:10+02:00

               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