document.write( "Question 1179663: Sam bought 3 shirts and 2 pairs of pants for $85.50. Randy bought 4 shirts and 3 pairs of pants for $123. How much does one shirt cost? How much does one pair of pants cost? \n" ); document.write( "
Algebra.Com's Answer #809219 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Sam bought 3 shirts and 2 pairs of pants for $85.50. Randy bought 4 shirts and 3 pairs of pants for $123. How much does one shirt cost? How much does one pair of pants cost?\r \n" ); document.write( "\n" ); document.write( " x number of shirts \n" ); document.write( " y number of pairs of pants \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "3.00 x + 2.00 y = 85.50 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "4.00 x + 3.00 y = 123.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -3.00 \n" ); document.write( "Multiply (2) by 2.00 \n" ); document.write( "-9.00 x -6.00 y = -256.50 \n" ); document.write( "8.00 x 6.00 y = 246.00 \n" ); document.write( "Add the two equations \n" ); document.write( "-1.00 x = -10.50 \n" ); document.write( "/ -1.00 \n" ); document.write( "x = 10.50 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "3.00 x + 2.00 y = 85.50 \n" ); document.write( "31.50 + 2.00 y = 85.50 \n" ); document.write( " 2.00 y = 54.00 \n" ); document.write( " y = 27.00 \n" ); document.write( "Ans x = 11 \n" ); document.write( " y = 27 \n" ); document.write( " 11 number of shirts \n" ); document.write( " 27 number of pairs of pants \n" ); document.write( " \n" ); document.write( " |