document.write( "Question 988843: Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportation. The remainder will be used for entertainment. Last month he spent $45 on entertainment. How much did he earn last month. \n" ); document.write( "
Algebra.Com's Answer #609311 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Mike works part time to earn spending money and to save for college. Each month he saves 1/3 of his earnings, spends 1/5 of his earnings on eating out and spends 1/6 on transportation. The remainder will be used for entertainment. Last month he spent $45 on entertainment. How much did he earn last month. \n" ); document.write( "------ \n" ); document.write( "Let his monthly earnings be \"x\". \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "x - (x/3) - (x/5) - (x/6) = 45 \n" ); document.write( " 30x - 10x - 6x - 5x = 45 \n" ); document.write( "----- \n" ); document.write( "9x = 45*30 \n" ); document.write( "--------------- \n" ); document.write( "x = 5*30 = $150\r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------- \n" ); document.write( " \n" ); document.write( " |