Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises: 20

Answer

40 haircuts

Work Step by Step

The first location's profit can be found by the number of haircuts, which will be h, times the cost of a haircut (45) minus the rent each month (1200) while the second location's profit is found by the number of haircuts (h) times the cost of a haircut (60) minus the rent each month (1800). Because we want to know when profits are equal to one another, we set the two equations equal to one another and solve for h. 45h-1200=60h-1800. Subtracting 60 to isolate h we get, -15h-1200=-1800. Adding 1200 to cancel 1200, we get -15h=-600. Dividing by -15 gives h=40.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.