## Algebra 1

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 107: 44

#### Answer

It would take 6 days

#### Work Step by Step

Step 1) 67x + 25x is the cost for x days using daily passes 350+ 25x is the cost for x days using a season pass ... Add the cost of the pass to the cost of ski rentals Step 2) 67x ÷ 25x = 350 ÷ 25x ... Equating the two costs will give you the value of x at the moment when the costs are equal. You must round to the next whole number day to get when the daily pass is more expensive. Step 3) 67x ÷ 25x — 25x = 350 67x = 350 ... Subtract 25 on both sides Step 4) x = 350/67 or x = 5.2 ... Divide by 67 on both sides Step 5) 6 days ... Round up to get the day the daily pass becomes more expensive (which means the season pass is less expensive).

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