document.write( "Question 830862: A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that the gym collects from its members is $7000. What is the cost of a full-time membership? \n" ); document.write( "
Algebra.Com's Answer #500947 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that the gym collects from its members is $7000. What is the cost of a full-time membership? \n" ); document.write( "----------- \n" ); document.write( "Equations: \n" ); document.write( "Value:: p = (1/4)f \n" ); document.write( "Value:: 20p + 30f = 7000 \n" ); document.write( "------- \n" ); document.write( "Substitute for \"P\" and solve for \"f\": \n" ); document.write( "20(1/4)f + 30f = 7000 \n" ); document.write( "5f + 30f = 7000 \n" ); document.write( "35f = 7000 \n" ); document.write( "f = $200 (cost of a full-time membership) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |