Question

A coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs the shop $4.60 per pound and type B costs $5.70 per pound. Thai month the shop made 110 pounds of the blend, for a total cost of $572.00. How many pounds of type B did they use?

Answer 1

The coffee shop used 60 pounds of Type B coffee.

Step-by-step explanation:

To find the number of pounds of Type B coffee used, we can set up a system of equations. Let x represent the number of pounds of Type A coffee and y represent the number of pounds of Type B coffee. We can then set up the following equations:

x + y = 110 (since the shop made 110 pounds of the blend)

4.60x + 5.70y = 572.00 (since the total cost of the blend is $572.00)

To solve this system of equations, we can use substitution or elimination. Let's use elimination:

Multiplying the first equation by 4.60, we get:

4.60x + 4.60y = 506

Subtracting this equation from the second equation, we get:

5.70y - 4.60y = 572 - 506

1.10y = 66

Dividing both sides by 1.10, we get:

y = 60

Therefore, the coffee shop used 60 pounds of Type B coffee.