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600 units of electricity and 100 units of gas were used for a total cost of $388. Next month, 400 units of electricity and 150 units of gas were used for a total cost of $277. Find the cost per unit of gas.

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Answer:

Cost per Electricity Unit= $0.61

Cost per Gas Unit= $0.22

Step-by-step explanation:

Suppose,

Cost per Electricity Unit: e

Cost per Gas Unit: g

for the first month condition, equation would be

[tex]600*e+100*g=388...........................................(i)[/tex]

and for the next month condition, equation would be like

[tex]400*e+150*g=277...........................................(ii)[/tex]

By solving both linear equations simultaneously, we get

e=0.61    and     g=0.22

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