A coffee merchant combines coffee that costs $7 per pound with coffee that costs $2.60 per pound. How many pounds of each should be used to make 26 lb of a blend costing $5.90 per pound?

Answer 1

X+Y=26

7X + 2.6Y = 26*5.9 = 153.4

7X + 2.6(26 - X) = 153.4

7X +67.6 - 2.6X = 153.4

4.4X + 67.6 = 153/4

4.4x = 85.8

x = 19.5

y = 6.5