document.write( "Question 519421: Peggy paid $51.30 for 2 boxes of chocolates, 6 roses, and 3 greeting cards. Joe paid $72.05 for 3 boxes of chocolates, 12 roses, and 2 greeting cards. If 1 greeting card costs the same as 2 roses, how much does a box of chocolates cost \n" ); document.write( "
Algebra.Com's Answer #345656 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Roses = x \n" ); document.write( "greeting card = 2x\r \n" ); document.write( "\n" ); document.write( "chocolate =y\r \n" ); document.write( "\n" ); document.write( "$51.30 \n" ); document.write( "2 boxes of chocolates ---------y each \n" ); document.write( "6 roses,----------------------- x each \n" ); document.write( "3 greeting cards.--------------2x\r \n" ); document.write( "\n" ); document.write( "2y+6x+6x=51.30 \n" ); document.write( "2y+12x=51.30....................1\r \n" ); document.write( "\n" ); document.write( " Joe paid $72.05 \n" ); document.write( "for 3 boxes of chocolates,------------y each \n" ); document.write( "12 roses,-----------------------------x \n" ); document.write( "2 greeting cards----------------------2x \n" ); document.write( "3y+12x+4x=72.05 \n" ); document.write( "3y+16x=72.05....................2\r \n" ); document.write( "\n" ); document.write( "12 x + 2 y = 51.3 .............1 \n" ); document.write( "16 x + 3 y = 72.05 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -3 \n" ); document.write( "Multiply (2) by 2 \n" ); document.write( "-36 x -6 y = -153.9 \n" ); document.write( "32 x 6 y = 144.1 \n" ); document.write( "Add the two equations \n" ); document.write( "-4 x = -9.8 \n" ); document.write( "/ -4 \n" ); document.write( "x = 2.45 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "12 x + 2 y = 51.3 \n" ); document.write( "29.4 + 2 y = 51.3 \n" ); document.write( " 2 y = 51.3 -29.4 \n" ); document.write( " 2 y = 21.9 \n" ); document.write( " y = 10.95 \n" ); document.write( "chocolates box = $10.95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |