Question

Alan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alan $4.20 per pound, and type B coffee costs $5.95 per pound. This month, Alan made 152 pounds of the blend, for a total cost of $795.90. How many pounds of type B coffee did he use?

Answer 1

90

Explanation:

let x represent pounds of blend A

let y represent pounds of blend B

Equation one: 4.2x + 5.95y = 795.9

Equation two: x + y = 152 or 152 - y = x

Substitute

4.2(152 - y) + 5.95y = 795.9

638.4 - 4.2y + 5.95y = 795.9

1.75y = 157.5

y = 90