Harry Styles wants to make trail mix made up of almonds, walnuts, and raisins. He wants to mix one part almonds, two parts walnuts and, three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound and, raisins cost $5 per pound.

Question

He has $15 to spend on the trail mix. How many pounds of trail mix can he make?

Answer 1

a:w:r = 1:2:3

12(x) + 9(2x) + 5(3x) = 15
45x = 15
x = 1/3

so, he has

1/3 lb almonds
2/3 lb walnuts
1 lb raisins

check costs:
almonds (1/3)(12) = 4
walnuts (2/3)(9) = 6
raisins (1)(5) = 5
total: 15