A candy maker wants to blend candy worth 45 cents a pound with candy worth 85 cents

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A candy maker wants to blend candy worth 45 cents a pound with candy worth 85 cents a pound to obtain 200 pounds of a mixture worth 70 cents a pound. How much of each type should go into the mixture?

Let x = the amount of candy worth 45 cents; then (200 – x) is the amount of candy worth 85 cents, and the value y of the mixture isimage text in transcribed

Substituting the value of the desired mixture for y,image text in transcribed

And 200 – 75 = 125 pounds at 85¢.

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