Laura's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Laura $4.10 per pound, and type B coffee costs $5.65 per pound. This month, Laura made 161 pounds of the blend, for a total cost of $767.05. How many pounds of type A coffee did she use?

92 pounds

Explanation:

let A be x pounds and B be y pounds in weight

ATQ,

x+y = 161 pounds ... 1

also cost of coffee A = 4.10 per pound

and cost of coffee B = 5.65 per pound

again ATQ

4.10x + 5.65y = $767.05 ... 2

solving 1 and 2 we get x and y as 92 and 69 respectively.

therefore, pounds of type A coffee did she use was 92 pounds