document.write( "Question 1009127: Samantha and Rachel had lunch at the mall. Samantha ordered three slices of pizza and two colas. Rachel ordered two slices of pizza and three colas. Samantha's bill was $6.00 and Rachel's bill was $5.25. What was the price of one slice of pizza? What was the price of one cola? \n" ); document.write( "
Algebra.Com's Answer #624671 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call the prices, p and c. Then we have \n" ); document.write( "3p + 2c = 6 \n" ); document.write( "2p + 3c = 5.25 \n" ); document.write( "Now multiply the top by 2 and the bottom by 3 and subtract 'em...we get \n" ); document.write( "6p + 4c = 12 \n" ); document.write( "-(6p + 9c = 15.75) \n" ); document.write( "-------------------- \n" ); document.write( "-5c = -3.75 \n" ); document.write( "c = $.75 \n" ); document.write( "Then \n" ); document.write( "3p + 2(.75) = 6 \n" ); document.write( "3p + 1.50 = 6 \n" ); document.write( "3p = 4.50 \n" ); document.write( "p = $1.50 \n" ); document.write( "$1.50 for pizza and $.75 for a coke... \n" ); document.write( " |