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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?

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tramserran

Answer: 11 lbs of each

Step-by-step explanation:

[tex]\begin{array}{c|c|c|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}[/tex]

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