Coffee 6

Coffee worth $1.05 per pound is mixed with coffee worth 85 cents per pound to obtain 20 pounds of a mixture worth 90 cents per pound. How many pounds of each type is used?

Correct answer:

a =  5 lb
b =  15 lb

Step-by-step explanation:

m=20 lb  a+b=m 1.05 a+0.85 b=0.90 m a+b=20 1.05 a+0.85 b=0.90 20  a+b=20 1.05a+0.85b=18  Pivot:Row1Row2 1.05a+0.85b=18 a+b=20  Row21.051 Row1Row2 1.05a+0.85b=18 0.19b=2.86  b=0.190476192.85714286=15 a=1.05180.85b=1.05180.85 15=5=5 lb  a=5 b=15

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