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)

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

3.3x = 1.98(10) = 19.8

x = 19.8/3.3 = 6 pounds of Arabian Mocha

mixed with 4 pounds of Kona

yield 10 pounds of a mixture

12.6 is within 1.32 of 11.28

9.3 is within 1.98 of 11.28

1.98/1.32 = 6/4 = 1.5