document.write( "Question 123322: Mr Arnold bought 2 watches and 4 pens for $586. Mr Smith bought 1 watch and 3 pens for $361. Find the cost of the pen. \n" ); document.write( "
Algebra.Com's Answer #90502 by chitra(359)![]() ![]() You can put this solution on YOUR website! Let \"w\" be the watch & \"p\" be the pen representations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By the given data: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2w + 4p = 586 ------------------> Arnold \r \n" ); document.write( "\n" ); document.write( "1w + 3p = 361 ------------------> Smith\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving both of the equations simultaneously, we find the value of the pen & the watch. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2w + 4p = 586\r \n" ); document.write( "\n" ); document.write( "2w + 6p = 722 multiplied by (2)\r \n" ); document.write( "\n" ); document.write( "================ Subtracting them we get: \n" ); document.write( "- 2p = -136 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> p = 68 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, by back substitution we can find the value of w, watches. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1w + 3(68) = 361 \r \n" ); document.write( "\n" ); document.write( "1w = 361 - 204 \r \n" ); document.write( "\n" ); document.write( "w = 157 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "thus the cost of one pen is $68 and one watch is $157 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "thus the solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "regs\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |