SOLUTION: During one month, a homeowner used 200 units of electricity and 110 units of gas for a total cost of $87.80. The next month, 240 units of electricity and 200 units of gas were used
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Question 1196230: During one month, a homeowner used 200 units of electricity and 110 units of gas for a total cost of $87.80. The next month, 240 units of electricity and 200 units of gas were used for a total cost of $117.60. Find the cost per unit of gas. Answer by ikleyn(52803) (Show Source):
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During one month, a homeowner used 200 units of electricity and 110 units of gas for a total cost of $87.80.
The next month, 240 units of electricity and 200 units of gas were used for a total cost of $117.60.
Find the cost per unit of gas.
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Write the system of two equations
200e + 110g = 87.80
240e + 200g = 117.60
where "e" is the price for the unit of electricity and "g" is the price for the unit of gas.
Solve using determinants
g = = 0.18.
ANSWER. The cost per unit of gas is 0.18.
