coffee word problem

Question

A coffee distributor needs to mix a(n) Kona coffee blend that normally sells for $9.30 per pound with a Arabian Mocha coffee blend that normally sells for $12.60 per pound to create 10 pounds of a coffee that can sell for $11.28 per pound. How many pounds of each kind of coffee should they mix



Answer 1

12.6x + 9.3(10-x) = 11.28(10)

3.3x = 1.98(10)

x= 19.8/3.3 = 6 pounds of Arabian

10-6 = 4 pounds of Kona

6(12.6 +4(9.3 = 75.6+ 37.2 = 112.8= 11.28(10)