SOLUTION: Using the 5 step process solve showing the work for: A dealer has some hard candy worth 45 cents per pound and some worth 70 cents per pound. He wishes to make a mixture of 120 pou

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Question 952575: Using the 5 step process solve showing the work for: A dealer has some hard candy worth 45 cents per pound and some worth 70 cents per pound. He wishes to make a mixture of 120 pounds that will be worth 55 cents per pound. How many pounds of each kind should he use?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assign a variable to the amount of one of the candies, your choice which. Either candy may be u and then the amount of the other candy would be 120-u.

You can do your calculation in cents per pound if you want. Try to account for the cost of the mixture.

Let u = pounds of the cheaper, 45 cents per pound, candy:

45u%2B70%28120-u%29=55%2A120