Amy operates a coffee kiosk in is blending her special house coffee. She's mixing kenya beans that cost $9 per pound with Columbia beans that cost $7.50 per pound to create a 30 pound one that sells for $8.50 per pound. How many pounds of kenya beans and how many pounds of Colombian beans does amy need to use to create her blend?

Question

Mathematics

Delaney Vasquez

15 August, 03:40

Amy operates a coffee kiosk in is blending her special house coffee. She's mixing kenya beans that cost $9 per pound with Columbia beans that cost $7.50 per pound to create a 30 pound one that sells for $8.50 per pound. How many pounds of kenya beans and how many pounds of Colombian beans does amy need to use to create her blend?

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Answers (1)

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Johnny Shields · Answer 1

12

Step-by-step explanation:

Let K = pounds of Kenyan-French roast

S = pounds of Sumatran

So 8K + 12S = 10*24 for the total cost.

K + S = 24 for the total weight.

S = 24 - K, so 8K + 12 (24 - K) = 240.

8K + 288 - 12K = 240 or 4K = 48 or K = 12. So, S = 12.

We would need 12 pounds each to make a blend that would cost $10 per pound.