Paul mixes nuts worth $ 1.40 per pound with oats worth $ 1.65 per pound to get 15 pounds of trail mix worth $ 1.50 per pound. How many pounds of nuts and how many pounds of oats did he use?

Answer 1

1.4n + 1.65o = 1.5(15) = 22.5

o = 15-n

1.4n + 1.65(15-n) = 22.5

1.4n -1.65n = 22.5 - 24.75

.25n = 2.25

n = 2.25/.25 = 9 lbs of nuts

mixed with 6 lbs of oats

yields 15 lbs of the $1.50 mix

1.65 -1.5 = .15

1.5 - 1.4 = .10

15/10 = 3/2 = 9/6