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?

Respuesta :

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.