<PRE><B>Question 296495</B>
Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 54 pounds of feed worth $0.28 per pound by mixing one kind worth $0.24 per pound with another worth $0.42 per pound. How many pounds of the cheaper kind should they use in the mix?

let x pounds of cheaper feed be required

the other one required will be 54-x

0.24*(x)+0.42(54-x)=0.28 * 54

0.24x +22.68 -0.42x =15.12

0.24x-0.42x=15.12-22.68

0.18x= 7.56

x=7.56 / 0.18

x=42 lbs-  the cheaper variety

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