Problema Solution

Three bottles of orange juice and two bottles of water cost $6.75.

Also, two bottles of orange juice and three bottles of water cost $6.15.

Find the cost per bottle of each.

Answer provided by our tutors

let


j = the cost per bottle of orange juice

w = the cost per bottle of water


three bottles of orange juice and two bottles of water cost $6.75


3*j + 2*w = 6.75


two bottles of orange juice and three bottles of water cost $6.15


2*j + 3*w = 6.15


by solving the system of equations


3*j + 2*w = 6.75

2*j + 3*w = 6.15


we find


j = $1.59


w = $0.99


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the cost per bottle of orange juice is $1.59.


the cost per bottle of water is $0.99.