Question

Manuel's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Manuel
$4.20
per pound, and type B coffee costs
$5.90
per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of
$576.00
. How many pounds of type A coffee were used?

Answer 1

Let \(a\) and \(b\) denote the pounds of the corresponding type of coffee.
\[\text{Cost:}\quad 4.2a+5.9b=576\]
You're given that the current blend uses twice as much of type B compared to type A, which means \(b=2a\). Solve for \(a\).