Problema Solution
During one month, a homeowner used 200 units of electricity and 140 units of gas for a total cost of $86.60. The next month, 250 units of electricity and 200 units of gas were used for a total cost of $113.00. Find the cost per unit of gas.
Answer provided by our tutors
let
x = the cost of one unit of electricity
y = the cost of one unit of gas
200 units of electricity and 140 units of gas for a total cost of $86.60
200x + 140y = 86.60
The next month, 250 units of electricity and 200 units of gas were used for a total cost of $113.00
250x + 200y = 113
by solving the system of equations
200x + 140y = 86.60
250x + 200y = 113
we find
x = $0.3
y = $0.19
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the cost per unit of gas is $0.19.