Question

Karen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Karen $5.80 per pound, and type B coffee costs $4.25 per pound. This month, Karen made 127 pounds of the blend, for a total cost of $657.55. How many pounds of type A coffee did she use?

Answer 1

76

Explanation:

A + B = 127

5.80A + 4.25B = 657.55

Solve with substitution.

5.80A + 4.25(127 − A) = 657.55

5.80A + 539.75 − 4.25A = 657.55

1.55A = 117.80

A = 76