document.write( "Question 66816: Could you please help me solve this?:
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document.write( "The Ed chairlift has a vertical rise of 900 feet and the Green Machine chairlift has a vertical rise of 1200 feet. Both ski lifts start at the ski lodge and Jason started and ended his day at the ski lodge. Jason skied a total of 15,900 vertical feet and rode only these two chairlifts a total of 16 times. How many times did he ride each chairlift? \n" );
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Algebra.Com's Answer #47505 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The Ed chairlift has a vertical rise of 900 feet and the Green Machine chairlift has a vertical rise of 1200 feet. Both ski lifts start at the ski lodge and Jason started and ended his day at the ski lodge. Jason skied a total of 15,900 vertical feet and rode only these two chairlifts a total of 16 times. How many times did he ride each chairlift?\r \n" ); document.write( "\n" ); document.write( "------------------- \n" ); document.write( "This is like a coin problem where the value of the two coins is \n" ); document.write( "900 ft or 1200 ft. \n" ); document.write( "---------- \n" ); document.write( "Let Jason's number of Ed runs be \"x\": Vert dist = 900x ft \n" ); document.write( "Then Jason's number of Green runs is \"16-x\": Vert dist = 1200(16-x) \n" ); document.write( "=19200-1200x ft \n" ); document.write( "----------------- \n" ); document.write( "EQUATION: \n" ); document.write( "vert dist + vert dist = 15,900 vert ft. \n" ); document.write( "900x + 19200-1200x = 15,900 \n" ); document.write( "-300x=-3300 \n" ); document.write( "x=11 (# of runs on Ed) \n" ); document.write( "16-x=5 (# of runs on Green) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |