Question

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 ounce of cashews cost?

Answer 1

The cost of one ounce of peanuts is $0.20

The cost of one ounce of cashew is $0.35

What are the linear equations that represent the question?

15p + 5c = 4.75 equation 1

5p + 15c = 6.25 equation 2

Where:

• p = cost of one ounce of peanuts
• c = cost of one ounce of cashew

What is the cost of one ounce of peanut and cashew?

Multiply equation 2 by 3

15p + 45c = 18.75 equation 3

Subtract equation 1 from equation 3

40c = 14

c = 14/40

c = $0.35

Substitute for c in equation 1

15p + (5 x 0.35) = $4.75

15p + 1.75 = 4.75

15p = 4.75 - 1.75

15p = 3

p = 3/15

p = $0.20

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