Question

Deandre's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Deandre $5.75 per pound, and type B coffee costs $4.25 per pound. This month, Deandre made 174 pounds of the blend, for a total cost of $880.50 . How many pounds of type A coffee did he use?

Answer 1

Type A cost $5.75 per pound

Type B cost $4.25 per pound.

Set up 2 equations:

A. + B = 174 pounds

5.75A + 4.25B = 880.50

Rewrite the first equation as A= 174 - B

Replace A in the second equation:

5.75(174-B) + 4.25B= 880.50

Use distributive property:

1000.50 - 5.75B + 4.25B = 880.50

Combine like terms:

1000.50 - 1.5B = 880.50

Subtract 1000.50 from both sides:

-1.5B = -120

Divide both sides by -1.5:

B = -120 / -1.5

B = 80

They used 80 pounds of type B

Subtract B from the total used to find type A:

174 - 80 = 94

They used 94 pounds of type A