Question

A store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts cost $1.25 per pounds and raisins cost $2.75 per pound, what amount of raisins and peanuts go into 1 pound of the mixture?

Answer 1

1.75=1.25X+2.75(1-X)
1.75=1.25X+2.75-2.75X
1.75-2.75=-1.5X
-1=-1.5X
X=-1/-1.5
X=2/3 POUNDS OF 1.25 PEANUTS.
1-2/3=1/3 POUNDS OF RAISONS.
PROOF
1.75=1.25(2/3)+2.75(1/3)
1.75=2.5/3+2.75/3
1.75=5.25/3
1.75=1.75