One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. The next month, 210 units of gas and 405 units of electric were used for a total cost of $82.35. Find the cost per unit of gas and electric using substitution.
1 answer:
Answer:
Let g represent the cost of gas and e represent the cost of electricity.
150g + 520e = 84.20 ⇒ 7(150g + 520e = 84.20) ⇒ 1050g + 3640e = 576.80
210g + 405e = 82.35 ⇒ -5(210g + 405e = 82.35) ⇒ -1050g - 2025e = -411.75
1615e = 165.05
e = 0.10
150g + 520(0.10) = 84.20
150g + 52 = 84.20
140g = 32.20
g = 0.23
Answer: gas = $0.23, electricity = $0.10
Step-by-step explanation:
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