Question

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.
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