document.write( "Question 1154946: Everything costs either $1.50 or $3.50 at a garage sale, there were 150 items and 41 items are left and $227.50 was made from the sale of items - write a system of equations that you could solve to figure out how many of each type of item sold.\r
\n" );
document.write( "\n" );
document.write( "would this be correct? x + y = 109
\n" );
document.write( " (3.5)x + 227.50 = (1.5)y \r
\n" );
document.write( "\n" );
document.write( "thank you \n" );
document.write( "
Algebra.Com's Answer #777462 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Everything costs either $1.50 or $3.50 at a garage sale, there were 150 items and 41 items are left and $227.50 was made from the sale of items - write a system of equations that you could solve to figure out how many of each type of item sold.\r \n" ); document.write( "\n" ); document.write( " x + y = 109 \n" ); document.write( "(3.5)x + (1.5)y =227.50\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " x + y = 109.00 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "3.50 x + 1.50 y = 227.50 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -1.50 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-1.50 x -1.50 y = -163.50 \n" ); document.write( "3.50 x 1.50 y = 227.50 \n" ); document.write( "Add the two equations \n" ); document.write( "2.00 x = 64.00 \n" ); document.write( "/ 2.00 \n" ); document.write( "x = 32.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 109 \n" ); document.write( "32.00 + 1.00 y = 109 \n" ); document.write( " 1.00 y = 77 \n" ); document.write( " y = 77 \n" ); document.write( "Ans x = 32 \n" ); document.write( " y = 77 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |