Question

Carpenter Charlie charges $15 per hour plus a flat rate of $100. Carpenter Chris charges $20 per hour plus a flat rate of $50. For how many hours of work will the total charged be equal? Let x equal the number of hours worked and let y equal the total that the carpenter will charge.

Answer 1

Carpenters Charlie and Chris total charges would be equal after working for 10 hours

How to determine the number of hours?

Let x represent the number of hours, and y represent the amount earned.

So, the equations are:

Charlie, y = 15x + 100

Chris, y = 20x + 50

When their earnings are equal, we have:

20x + 50 = 15x + 100

Collect like terms

20x - 15x = 100 - 50

Evaluate the differences

5x = 50

Divide both sides by 5

x = 10

Hence, their total charges would be equal after working for 10 hours

Read more about linear equations at:

brainly.com/question/14323743

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