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Mary's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Mary $5.45 per pound, and type B coffee costs $4.35 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $410.35. How many pounds of type A coffee were used?

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bireland203
Type A = 5.45/lb
Type B = 4.35/lb

This months blend: 2B + A = 410.35

2(4.35) = 8.70

A + 8.70 = 410.35

A = 401.65

We know that a is 5.45 per pound, so divide 401.65 by 5.45 for a result of 73.69 LB of Type A

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