document.write( "Question 1013341: Madison and Gabriella go to the movie theater and purchase refreshments for theirs. Madison spends a total of $136.50 on 6 drinks and 14 bags of popcorn. Gabriella spends a total of $41.00 on 7 drinks and 2 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Determine and state the price of a drink and a popcorn to the nearest cent. \n" ); document.write( "
Algebra.Com's Answer #629777 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! 6D+14P=136.50; drinks are D, popcorn is P \n" ); document.write( "7D+2P=41 \n" ); document.write( "==== \n" ); document.write( "6D+14P=136.50 \n" ); document.write( "-49D-14P=-287,multiplying the second by -7 \n" ); document.write( "-43D=-150.50, add the two together. \n" ); document.write( "Drinks are $3.50 \n" ); document.write( "substitute into second equation \n" ); document.write( "$24.50+2P=41 \n" ); document.write( "2P=16.50 \n" ); document.write( "P=8.25 \n" ); document.write( "============= \n" ); document.write( "Check with first equation \n" ); document.write( "21+115.50=136.50 \n" ); document.write( "Drinks are $3.50 \n" ); document.write( "Popcorn is $8.50 \n" ); document.write( " |