document.write( "Question 370576: Simone went to an outlet mall. Sweaters were $5 each, shirts $3, pairs of socks $1. She spent $70 and bought 26 items. She bought 1 more shirt than she did sweaters. Ignoring tax, set up a system of equations and solve the system. \n" ); document.write( "
Algebra.Com's Answer #264168 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Sweaters were $5 each, shirts $3, pairs of socks $1. She spent $70 and bought 26 items. She bought 1 more shirt than she did sweaters. Ignoring tax, set up a system of equations and solve the system. \n" ); document.write( "... \n" ); document.write( "Sweaters were $5 each, Let this number be x \n" ); document.write( "She bought 1 more shirt than she did sweaters. \n" ); document.write( "shirts $3, : this will be x+1 \n" ); document.write( "Balance pair of socks = 26 - ( sum of shirts & sweaters) \n" ); document.write( "pairs of socks $1.: this will be 26-(x+x+1) \n" ); document.write( "=26-(2x+1) \n" ); document.write( "She spent $70 \n" ); document.write( "...\r \n" ); document.write( "\n" ); document.write( "Price equation \n" ); document.write( ".... \n" ); document.write( "5x+3(x+1)+1(26-(2x+1)) = 70 \n" ); document.write( "5x+3x+3+25-2x=70 \n" ); document.write( "6x+28=70 \n" ); document.write( "-28 -28 \n" ); document.write( "6x=42 \n" ); document.write( "/6 \n" ); document.write( "x=7... sweaters \n" ); document.write( "Shirts = x+1 = 8 \n" ); document.write( "Pair of socks = 26-(2x+1)= 26-(2*7+1)=26-15=11 \n" ); document.write( "... \n" ); document.write( "CHECK \n" ); document.write( "11*1+8*3+7*5=11+24+35=70 \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |