Question

Donna wants to make trail mix made up of almonds, walnuts, raisins. she wants to mix one part almonds, two part walnuts, and three parts raisins. almonds cost $12 per pound,walnuts cost $9 per pound, and raisins cost $5 per pound. Donna has $15 to spend on the trail mix. determine how many pounds of trail mix she can make.[ only an algebraic solution]

Answer 1

Almons:walnuts:rasins=1:2:3


x=pounds of walnuts
y=pounds of almonds
z=pounds or rasins
2x=y
3x=z
subsitute


12x+9y+5z=15
12x+9(2x)+5(3x)=15
12x+18x+15x=15
45x=15
divide by 45
x=1/3
so
1/3 pound of walnuts
2x=y
2(1/3)=y=2/3
2/3 pounds of almonds
3x=z
3(1/3)=z
1=z
1 pound of rasins




1/3 pound walnuts
2/3 pound almonds
1 pound rasins