document.write( "Question 131631: At a recreation and sports facility, 3 members and 3 nonmembers pay a total of $180 to take an aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same class. How much does it cost members and nonmembers to take the aerobics class? \n" ); document.write( "
Algebra.Com's Answer #96066 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! At a recreation and sports facility, 3 members and 3 nonmembers pay a total of $180 to take an aerobics class. A group of 5 members and 3 nonmembers pay $210 to take the same class. How much does it cost members and nonmembers to take the aerobics class? \n" ); document.write( "---------------------------- \n" ); document.write( "Let cost to members be m ; Let cost to nonmembers be \"n\". \n" ); document.write( "---------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "3m + 3n = 180 \n" ); document.write( "5m + 3n = 210 \n" ); document.write( "------------------- \n" ); document.write( "Subtract the 1st equation from the 2nd to get: \n" ); document.write( "2m = 30 \n" ); document.write( "m = $15 (amount members pay) \n" ); document.write( "-------- \n" ); document.write( "Solve for \"n\": \n" ); document.write( "3m+3n= 180 \n" ); document.write( "45 + 3n = 180 \n" ); document.write( "15 + n = 60 \n" ); document.write( "n = 45 (amount nonmembers pay) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |