SOLUTION: Cashews cost $5 per pound and peanuts cost $1.50 per pound. How many pounds of cashews should be mixed with peanuts to get a mixture of 32 pounds that will cost $4 per pound? Round

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Question 328739: Cashews cost $5 per pound and peanuts cost $1.50 per pound. How many pounds of cashews should be mixed with peanuts to get a mixture of 32 pounds that will cost $4 per pound? Round to the nearest tenth.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be the amont of cashews, P peanuts.
1.C%2BP=32
2.5C%2B1.5P=4%2832%29=128
From eq. 1,
C=32-P
Substitute into eq. 2,
5%2832-P%29%2B1.5P=128
160-5P%2B1.5P=128
-3.5P=-32
P=32%282%2F7%29=64%2F7
.
.
.
C%2B64%2F7=224%2F7
C=%28224-64%29%2F7
C=160%2F7
To the nearest tenth, use 22.9 lbs of cashews and 9.1 lbs of peanuts.