Question 1124043: A ski resort sells lift tickets at regular price for $45 per ticket. As part of a promotion going right now, you can buy a $90 super-saver pass that allows you to buy lift-tickets at half price. How many lift tickets would a skier have to buy for the super-saver pass to be worth the money?
Answer by FrankM(1040)   (Show Source):
You can put this solution on YOUR website! A half price ticket will save you $45/2 = $22.50
The $90 pass will be paid for, if you buy $90/22.50 = 4 tickets.
At 4 tickets, your total cost is $180. Either way. More than 4, and the savings add up.
Equations -
Cost with no discount -
C = 45T (Cost is 45 times ticket price)
Cost with discount -
C = 22.5T + 90 (Now cost is 22.5 per ticket plus 90 pass fee)
45T = 22.5T +90
22.5T = 90
T = 4 (when cost is same, at 4 tickets sold)
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