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?

Question

Mathematics

Lane Galloway

23 November, 09:55

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?

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Answers (1)

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Felix Cohen · 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