document.write( "Question 52216: Sally bought 3 chocolate bars and a pack of gum and paid $1.75. Jake bought 2 chocolate bars and 4 packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum. \n" ); document.write( "
Algebra.Com's Answer #34789 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! 3 choco. + 1 gum = $1.75 \n" ); document.write( "2 choco. + 4 guns = $2.00 \n" ); document.write( ". \n" ); document.write( "Re-writing: \n" ); document.write( "3x + 1y = 1.75 \n" ); document.write( "2x + 4y = 2.00 \n" ); document.write( "Solve using any method for solving a system of equations. \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "Using the method of elimination to solve: \n" ); document.write( "-2(3x + 1y = 1.75) \n" ); document.write( "+3(2x + 4y = 2.00) \n" ); document.write( "____________________ \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "-6x-2y=-3.5 \n" ); document.write( "+6x+12y=6 \n" ); document.write( "____________________ \n" ); document.write( "0x+10y=2.5 \n" ); document.write( ". \n" ); document.write( "10y=2.5 [Solve for y] \n" ); document.write( "y=.25 cents per gum \n" ); document.write( ". \n" ); document.write( "Plug y=.25 back into either of the original equations \n" ); document.write( "3x + 1(.25) = 1.75 [Solve for x] \n" ); document.write( "3x+.25=1.75 \n" ); document.write( "x=.50 cents per chocolate bar. \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "Checking: \n" ); document.write( "3x + 1y = 1.75 [Plug-in x=.50 and y=.25] \n" ); document.write( "3(.50) + 1(.25) = 1.75 \n" ); document.write( "1.75=1.75 [Checks out] \n" ); document.write( ". \n" ); document.write( "Checking \n" ); document.write( "2x + 4y = 2.00 [Plug-in x=.50 and y=.25] \n" ); document.write( "2(.50)+4(.25)=2.00 \n" ); document.write( "2=2 [checks out] \n" ); document.write( ".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |