## Problema Solution

A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.75. The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.25. How much does one ounce of peanuts and one ounces of cashews cost?

## Answer provided by our tutors

Let

p = the cost per ounce of peanuts

c = the cost per ounce of cashews

The first mixture has 15 ounces of peanuts combined with 5 ounces of cashews, and costs $4.75

15p + 5c = 4.75

The second mixture has 5 ounces of peanuts and 15 ounces of cashews, and costs $6.25

5p + 15c = 6.25

We have the following system of equations:

15p + 5c = 4.75

5p + 15c = 6.25

........

Click here to see the step by step solution

........

p = $0.20 per ounce of peanuts

c = $0.35 per ounce of cashews