Question

The Coffee Counter charges ?$8.00 per pound for Kenyan French Roast coffee and ?$10.00 per pound for Sumatran coffee. How much of each type should be used to make a 22 pound blend that sells for ?$9.00 per? pound?

Answer 1

Answer: 11 lbs of each

Explanation:

`\begin{array}c&\underline{Quantity}&\underline{Cost}&\underline{\quad Qty \cdot Cost\quad}\\Kenyan&x&\$8&8x\\\underline{Sumatran}&\underline{22-x}&\underline{\$10}&\underline{\quad 10(22-x)\quad}\\{Blend&22&\$9&8x+10(22-x)}\\\end{array}`

The last line (Blend) provides the equation that needs to be solved:

22(9) = 8x + 10(22 - x)

198 = 220 - 2x

-22 = - 2x

11 = x

Kenyan: x = 11

Sumatran: 22 - x = 22 - 11 = 11