A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for...

Question

A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for $9.40 per pound with a Queen City coffee blend that normally sells for $12.90 per pound to create 80 pounds of a coffee that can sell for $10.36 per pound. How many pounds of each kind of coffee should they mix?

Answer 1

12.9x + 9.4(80-x) = 10.36(80)

12.9x - 9.4x = (10.36-9.4)(80)

3.5x = .96(80) = 76.8

x = 76.8/3.5

x = about 21.94 lbs of $12.90 Queen City

80-x = about 58.06 lbs of $9.40 Kona coffee, to get 80 lbs of $10.36 mixture

12.9(22) + 9.4(58) = 283.,8 + 545.2 = 829

10.36(80)= 828.8

9.4 is within .96 of 10.36

12.9 is within 2.54 of 10.36

2.54/.96 = 2.6

58.06/21.94 = 2.6