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A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown coffee that normally sells for $13.10 per pound to create 50 pounds of a new coffee blend that can sell for $12.62 per pound. How many pounds of each kind of coffee should they mix? Answer: pounds of Rift Valley coffee? pounds of Mexican Shade Grown coffee? Round your answers to the nearest whole number of pounds.​

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MathPhys

Answer:

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26