document.write( "Question 89189: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost of a pack of gum. \n" ); document.write( "
Algebra.Com's Answer #64809 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost of a pack of gum. \n" ); document.write( "---------- \n" ); document.write( "Let \"c\" be the cost of a chocolate bar; Let \"p\" be the cost of a pack of gum. \n" ); document.write( "------------- \n" ); document.write( "EQUATION: \n" ); document.write( "3c+p = 1.75 \n" ); document.write( "2c+4p = 2.00 \n" ); document.write( "--------------- \n" ); document.write( "Multiply the 1st equation by 4 to get: \n" ); document.write( "12c+4p = 7 \n" ); document.write( "-- \n" ); document.write( "Subtract the 2nd equation from that result to solve for c: \n" ); document.write( "10c = 5 \n" ); document.write( "c = $0.50 (price of a chocolate bar) \n" ); document.write( "--------- \n" ); document.write( "Substitute into 3c+p = 1.75 to solve for p: \n" ); document.write( "3(0.50)+p = 1.75 \n" ); document.write( "1.50 + p = 1.75 \n" ); document.write( "p = $0.25 (price of a pack of gum) \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |