Help on math please

Question

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.

Answer 1

1 pound is 16 ounces. And we need to keep the ratio of 7 oz almonds and 5 oz raisins.

If I multiply each quantity by the same number, the ratio should stay the same. So

7(N) + 5(N) = 16

12 N = 16

N = 16/12 = 4/3

So we need 7(4/3) = 28/3 oz of almonds = 9.33 ounces of almonds.

And we need 5(4/3) = 20/3 oz of raisins = 6.67 ounces of raisins.

Together, these make 16 oz or 1 pound. And they still have the 7 almond/5 raisin ratio.