SOLUTION: Joe wishes to make 15 pound of feed worth $0.31 per pound by mixing one kind worth $0.14 per pound with another worth $0.40 per pound. How many pounds of the cheaper kind should Jo

Question 847215: Joe wishes to make 15 pound of feed worth $0.31 per pound by mixing one kind worth $0.14 per pound with another worth $0.40 per pound. How many pounds of the cheaper kind should Joe use to mix ?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
If we are going to use 15 pounds of feed, then one portion will get x pounds the other will get the remaining: 15-x pounds. Let's assign the cheaper to x pounds, while the more expensive will be 15-x. The resulting equation is this:

x(.14) + (15-x) * .40 = 15 * .31
.14x + 6 - .4x = 4.65
-.26x = - 1.35
x = 5.19 pounds of cheaper.

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