Question

Charlie's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charlie $4.35 per pound, and type B coffee costs $5.80 per pound. This month, Charlie made 143 pounds of the blend, for a total cost of $713.40. How many pounds of type A coffee did he use

Answer 1

A=80 pounds, B=63 pounds

Explanation:

Cost of type A=$4.35 per pound

Cost of type B=$5.80 per pound

Cost of A+ B=$713.40

A+B=143 pounds

A=143-B

QaPa+QbPb=713.40

A*4.35 + B*5.80=713.40

4.35A+5.80B=713.40

Substitute A=143-B

4.35(143-B) + 5.80B=713.40

622.05 - 4.35B + 5.80B=713.40

1.45B=713.40-622.05

1.45B=91.35

B=91.35/1.45

=63

B=63

Recall,

A+B=143

A+63=143

A=143-63

=80

A=80 pounds, B=63 pounds