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).