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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |