Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $725. What was the rate charged per hour by each mechanic if the sun of the two rates was $100 per hour?
1 answer:
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement): 5x + 10y = 725 x + y = 100 By substitution, we get: 5x + 10(100 - x) = 725 5x + 1000 - 10x = 725 -5x = 725 - 1000 -5x = -275 x = -275/-5 = 55 100 - 55 = 45 Thus: The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr. To verify, plug and chug the results back into the original equations: 5(55) + 10(45) = 725 275 + 450 = 725 725 = 725 [OK] 55 + 45 = 100 [OK]
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