document.write( "Question 892981: Last year you mowed grass and shoveled snow for 10 households. You earned $200 per household mowing for the entire season and $180 per household shoveling for the entire season. You earn a total of $1880 last year. Write and solve an algebraic model to determine the number of households you mow and shovel for. \n" ); document.write( "
Algebra.Com's Answer #540972 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Last year you mowed grass and shoveled snow for 10 households. You earned $200 per household mowing for the entire season and $180 per household shoveling for the entire season. You earn a total of $1880 last year. Write and solve an algebraic model to determine the number of households you mow and shovel for. \n" ); document.write( "--------------- \n" ); document.write( "Quantity Eq:: m + s = 10 households \n" ); document.write( "Value Eq::: 200m+180s = 1880 dollars \n" ); document.write( "-------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "10m + 9s = 94 \n" ); document.write( "10m + 10s = 100 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"s\", then solve for \"m\"::: \n" ); document.write( "s = 6 (# shoveled) \n" ); document.write( "m = 4 (# mowed) \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |