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 $6.00. The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $8.00. How much does one ounce of peanuts and one ounce 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 five ounces of cashews, and costs $6.00:
15p + 5c = 6.00
The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $8.00:
5p + 15c = 8.00
We have the following system of equations:
15p + 5c = 6.00
5p + 15c = 8.00
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click here to see the step by step solution for p and c
........
p = $0.25 = 25 c
c = $0.45 = 45 c
One ounce of peanuts costs 25 cents.
One ounce of cashews costs 45 cents.