How much candy at $1.20 a pound should be mixed with candy worth 95¢ a pound in order to obtain a mixture of 50 pounds of candy worth a dollar a pound?

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10 pounds of candy costing $1.20 per pounds must be mixed with 40 pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound

  • The calculation is as follows:

Let us assume x be the pounds of candy at $ 1.20 per pound

So,

(50 - x) is the pounds of candy at $ 0.95 per pound

Now the equation should be

1.20x + (50 - x)0.95 = 50 (1)

1.20x + 47.5 - 0.95x = 50

0.25x = 50 - 47.5

0.25x = 2.5

x = 10

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