Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $4.15 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $330.75. How many pounds of type A coffee were used?

Question

Mathematics

Morgan Frye

5 June, 01:23

Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $4.15 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $330.75. How many pounds of type A coffee were used?

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Answers (1)

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Betty Boop · Answer 1

We call pounds of type A coffee is x, while pounds of type B coffee is y.

A costs $4.15 per pound while B costs $5.80 per pound

y = 2x

$4.15x+$5.80y = $330.75

$4.15x + $5.80 (2x) = $330.75

$15.75x=$330.75

x=21

Therefore, y=2x=42

Type A coffee were used 21 pounds.