Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

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 1st location's profit is represented by the expression $45h-1200$. 45 is how much a haircut costs and 1200 is the amount of rent each month. The second location's profit is represented by the expression $60h-1800$. 60 is how much a haircut costs and 1200 is the amount of rent each month. Set them equal to each other and solve: $45h-1200=60h$-1800 (subtract 45h from both sides) $1200=15h-1800$ (add 1200 to both sides) $600=15h$ (divide both sides by 15 to isolate the variable) $40=h$ After 40 haircuts, the two barbershop's profits will be equal.
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