A locksmith charges an estimation fee plus an hourly fee for each job that he/she does. A 4 hour job plus esti
ashlyn absinthe asked:
A locksmith charges an estimation fee plus an hourly fee for each job that he/she does. A 4 hour job plus estimation costs $120 and a 2 hour job plus estimation costs $65. Find the locksmith’s estimation fee.
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4X + Y = 120
2X + Y = 65
4X – 2X + Y – Y = 120 – 65 = 55 = 2X
X = 27.5
65 – 2X = Y = 10
Y = 10 = estimation fee
X = 27.5 = hourly rate
Nice Algebra!! i was in the direction, but did not remember how to do it.