How do I solve this ratio problem?

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

Each batch of trail mix has 12 ounces of ingredients:

7 ounces almonds + 5 ounces raisins.

A pound = 16 ounces

The ratio of almonds to trail mix is 7/12.

7/12 • 16 ounces = 28/3 ounces of almonds

The ratio of raisins to trail mix is 5/12.

5/12 • 16 ounces = 20/3 ounces of raisins.

Answer 2

7x + 5x = 16 1 lb = 16 oz

12x = 16

x = 1 1/3

Almonds (7)(4/3)

Raisins (5)(4/3)