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 - Page 107: 44

Answer

6 days

Work Step by Step

$67x+25x$ is the cost of daily passes. $350+25x$ is the cost of season passes. Set them equal to each other to find out when the daily pass becomes more expensive than the season pass: $67x+25x=350+25x$ (simplify) $92x=350+25x$ (subtract 25x from both sides of the equation) $67x=350$ (divide both sides b 67 to isolate the variable) $x=5.2$ Since you cant have 5.2 days you round it to the next whole number day which is 6. On day 6, the daily pass becomes more expensive than the season pass.
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