Eric’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Eric $5.75 per pound, and type B coffee costs $4.50 per pound. This month’s blend used twice as many pounds of B coffee as type A, for a total cost of $309.75. How many pounds of type A were used?

Answer 1

Let's say Eric used x pounds of type A coffee.

Since he used twice as many pounds of type B coffee, then he used 2x pounds of type B coffee.

The total cost of the blend is $309.75, so we can write an equation based on the cost:

5.75x + 4.5(2x) = 309.75

Now we can solve for x:

5.75x + 9x = 309.75

14.75x = 309.75

x = 21

Therefore, Eric used 21 pounds of type A coffee in the blend.