Question

A store manager wishes to reduce the price on his fresh ground coffee by mixing two grades. If he has 50 pounds of coffee which sells for $5 per pound, how much coffee worth $3 per pound must he mix with it so that he can sell the final mixture for $4.25 per pound?

Answer 1

let x the lower price coffee and, y the high price coffee:

y=50

3x+5y=4.25(x+y)

3x+5(50)=4.25(x+50)

3x+250=4.25x+212.5

1.25x=37.5

x=30 pounds of the $3 coffee