Ask Question
26 September, 10:47

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?

+2
Answers (1)
  1. 26 September, 11:25
    0
    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]
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers