Question

Miguel’s coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Miguel $5.95 per pound, and type B coffee costs $4.65 per pound. This month’s blend used three times as many pounds of type B coffee as type A, for a total cost of $796.00. How many pounds of typeA coffee were used?

Answer 1

Explanation:

Let's start by setting up two variables to represent the number of pounds of type A and type B coffee used in the blend. Let:

x be the number of pounds of type A coffee used

3x be the number of pounds of type B coffee used (since there were three times as many pounds of type B used as type A)

The total cost of the blend is given as $796.00, so we can set up an equation based on the cost of each type of coffee and their respective amounts:

5.95x + 4.65(3x) = 796

Simplifying and solving for x, we get:

5.95x + 13.95x = 796

19.90x = 796

x = 40

Therefore, 40 pounds of type A coffee were used in the blend. To find the number of pounds of type B coffee, we can substitute x = 40 into our expression for the number of pounds of type B:

3x = 3(40) = 120

Therefore, 120 pounds of type B coffee were used in the blend.