Problema Solution
Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 27 pounds of feed worth $0.24 per pound by mixing one kind worth $0.13 per pound with another worth $0.42 per pound. How many pounds of the cheaper kind should they use in the mix? Round your answer to the nearest pound, if necessary.
Answer provided by our tutors
Tim and Judy mix two kinds of feed for pedigreed dogs. They wish to make 27 pounds of feed worth $0.24 per pound by mixing one kind worth $0.13 per pound with another worth $0.42 per pound.
x+y=27.
0.13x+0.42y=0.24(x+y).
0.13x+0.42y=0.24x+0.24y.
0.13x-0.24x=0.24y-0.42y.
0.11x=0.18y.
0.11x-0.18(27-x).
0.11x=4.86-0.18x.
0.29x=4.86.
x=4.86/0.29.
=16.76.
y=10.24.
The number of pounds of cheper kind of feed =10.24.