Pounds of the Arabian Mocha Blend? Pounds of the Gualtemala Antigua Blend?

Question

A coffee distributor needs to mix a(n) Arabian Mocha coffee blend that normally sells for $9.90 per pound with a Gualtemala Antigua coffee blend that normally sells for $11.50 per pound to create 50 pounds of a coffee that cab sell for $10.32 per pound. How many pounds of each kind of coffee should they mix ?

Answer 1

X + Y = 50

9.9X + 11.5Y = 50*10.32

9.9X + 11.5 ( 50 - x) = 516

9.9X + 575 - 11.5x = 516

-1.6x = -59

x = -59/-1.6 = 36.875

x = 36.875 and y = 13.125