document.write( "Question 192981: Fundraising- The St. Marks Community Barbecue served 250 dinners. A child's plate cost 3.50 and an adult's plate cost 7.00. A total of 1347.50 was collected. How many of each type of plate was served? \n" ); document.write( "
Algebra.Com's Answer #144872 by checkley77(12844)\"\" \"About 
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a+c=250 or a=250-c
\n" ); document.write( "7a+3.5c=1,347.50
\n" ); document.write( "7(250-c)+3.5c=1,347.50
\n" ); document.write( "1,750-7c+3.5c=1,347.50
\n" ); document.write( "-3.5c=1,347.5-1,750
\n" ); document.write( "-3.5c=-402.5
\n" ); document.write( "c=-402.50/-3.5
\n" ); document.write( "c=115 is the number of children plates.
\n" ); document.write( "a=250-115=135 is the number of adult plates sold.
\n" ); document.write( "Proof
\n" ); document.write( "7*135+3.5*115=1,374.50
\n" ); document.write( "945+402.5=1,374.50
\n" ); document.write( "1,374.50=1,374.50\r
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