document.write( "Question 4860: Hello I'm having a problem with this solution.
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document.write( "Bobbie sold 35 T shirts and socks. T-shirts were sold at $9.00 and socks for $5.00. Total sales came to $287. How many of each were sold? What was the total dollar sales of each? Thank You for your help. \n" );
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Algebra.Com's Answer #2396 by Abbey(339) ![]() You can put this solution on YOUR website! Let T = The number of T-shirts bobby sold \n" ); document.write( "Let S = the number of socks bobby sold\r \n" ); document.write( "\n" ); document.write( "9T = The total dollars that the T-shirts earned \n" ); document.write( "5S = The total dollars that the socks earned\r \n" ); document.write( "\n" ); document.write( "We know that the total sales from both came to $287, So:\r \n" ); document.write( "\n" ); document.write( "9T+5S=287\r \n" ); document.write( "\n" ); document.write( "And we know that he only sold a total of 35 items: \n" ); document.write( "T+S=35\r \n" ); document.write( "\n" ); document.write( "This can be rewritten as S=35-T, by subtracting T from both sides.\r \n" ); document.write( "\n" ); document.write( "Then used 35-T to put into our total sales equation as a substitution for S:\r \n" ); document.write( "\n" ); document.write( "9T+5(35-T)=287\r \n" ); document.write( "\n" ); document.write( "Clear the parentheses: \n" ); document.write( "9T+175-5T=287\r \n" ); document.write( "\n" ); document.write( "Combine like terms (subtract $175 from both sides of the equation)\r \n" ); document.write( "\n" ); document.write( "4T=112\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 4\r \n" ); document.write( "\n" ); document.write( "T=28 \r \n" ); document.write( "\n" ); document.write( "He sold 28 T-shirt, so he sold 7 pairs of socks (35-28=7)\r \n" ); document.write( "\n" ); document.write( "Check your answer:\r \n" ); document.write( "\n" ); document.write( "28*9.00=$252 \n" ); document.write( "7*5.00= $ 35\r \n" ); document.write( "\n" ); document.write( "252+35=287, so this is correct. \n" ); document.write( " \n" ); document.write( " |