SOLUTION: Franco Manue runs a grocery store. He wishes to mix 30 pounds of coffee to sell for a total cost of $170. To obtain the mixture, he will mix coffee that sells for $5.20 per pound w

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Question 725241: Franco Manue runs a grocery store. He wishes to mix 30 pounds of coffee to sell for a total cost of $170. To obtain the mixture, he will mix coffee that sells for $5.20 per pound with coffee that sells for $6.30 per pound. How many pounds of each coffee should he use.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two equations would be needed. One to account for money and the other to account for mass.

x = pounds of $5.20/pound coffee
y = pounds of $6.30/pound coffee

5.20x%2B6.30y=170. That accounts for the money but uses two variables.

The grocer wants a mixture of 30 pounds of coffee, so
x%2By=30.

Two equations in two unknowns. Solve for x and y.