document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #740406 by FrankM(1040)![]() ![]() You can put this solution on YOUR website! A half price ticket will save you $45/2 = $22.50\r \n" ); document.write( "\n" ); document.write( "The $90 pass will be paid for, if you buy $90/22.50 = 4 tickets.\r \n" ); document.write( "\n" ); document.write( "At 4 tickets, your total cost is $180. Either way. More than 4, and the savings add up. \r \n" ); document.write( "\n" ); document.write( "Equations -\r \n" ); document.write( "\n" ); document.write( "Cost with no discount -\r \n" ); document.write( "\n" ); document.write( "C = 45T (Cost is 45 times ticket price)\r \n" ); document.write( "\n" ); document.write( "Cost with discount -\r \n" ); document.write( "\n" ); document.write( "C = 22.5T + 90 (Now cost is 22.5 per ticket plus 90 pass fee)\r \n" ); document.write( "\n" ); document.write( "45T = 22.5T +90 \r \n" ); document.write( "\n" ); document.write( "22.5T = 90\r \n" ); document.write( "\n" ); document.write( "T = 4 (when cost is same, at 4 tickets sold) \n" ); document.write( " \n" ); document.write( " |