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
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p = $0.20 per ounce of peanuts
c = $0.35 per ounce of cashews