Miguel's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Miguel $5.65 per pound, and type B coffee costs $4.35 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $374.00. How many pounds of type A coffee were used?

Question

DuarteME · Answer

Let $a$ be the number of pounds of type A coffee and $b$ be the number of pounds of type B coffee. Therefore, the total cost is:
$5.65 \times a + 4.35 \times b = 374.00.$

We also know that they used three times as many pounds of type B coffee as type A, which means:
$b = 3a.$

We can now substitute the second equality in the first one to solve for $a$ and get the final result. Can you see how to do that from here?

alyssa4453 · Answer

its 20