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 #629781 by stanbon(75887)\"\" \"About 
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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.
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\n" ); document.write( "Equations:
\n" ); document.write( "6d + 14b = 136.50
\n" ); document.write( "7d + 2b = 41
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\n" ); document.write( "Modify for elimination:
\n" ); document.write( "6d + 14b = 136.50
\n" ); document.write( "49d + 14b = 7*41
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\n" ); document.write( "Subtract and solve for \"d\":
\n" ); document.write( "43d = 150.5
\n" ); document.write( "d = $3.50 (cost of one drink)
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\n" ); document.write( "Solve for \"b:
\n" ); document.write( "7d + 2b = 41
\n" ); document.write( "----
\n" ); document.write( "24.50 + 2b = 41
\n" ); document.write( "2b = 16.50
\n" ); document.write( "b = $8.25 (cost of one bag)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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