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 $4.25. The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75. How much does one ounce of peanuts and one ounce of cashews cost?


a)$0.40 for peanuts and $0.40 for cashews
b)$0.12 for peanuts and $0.40 for cashews
c)$0.40 for peanuts and $.15 for cashews
d)There is no solution.

1 answer

To solve this problem, we can set up a system of equations.

Let x be the cost per ounce of peanuts and y be the cost per ounce of cashews.

From the information given:
15x + 5y = 4.25
5x + 15y = 6.75

Solving this system of equations, we get:
x = $0.40
y = $0.15

So, one ounce of peanuts costs $0.40 and one ounce of cashews costs $0.15. The answer is c) $0.40 for peanuts and $0.15 for cashews.