document.write( "Question 1023358: A youth club held a pancake breakfast to raise money for a trip. Tickets were ​$5 for children and ​$7.50 for adults. If 282 tickets were sold and the group took in ​$1885​, find the number of adults and the number of children that attended the breakfast. \n" ); document.write( "
Algebra.Com's Answer #638983 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "Make tickets for children = 'x'
\n" ); document.write( "Tickets for adults = 'y'
\n" ); document.write( "x + y = 282.......(1)
\n" ); document.write( "5x + 7.5y = 1885....(2)
\n" ); document.write( "Multiply Eq(1) by 7.5
\n" ); document.write( "7.5x + 7.5y = 2115....(1)
\n" ); document.write( "5x + 7.5y = 1885......(2)
\n" ); document.write( "Subtract Eq(2) from Eq(1)
\n" ); document.write( "2.5x = 230
\n" ); document.write( "x = 92
\n" ); document.write( "Substitute x = 92 into Eq(1)
\n" ); document.write( "x + y = 282
\n" ); document.write( "92 + y = 282
\n" ); document.write( "y = 190
\n" ); document.write( "Children = 92
\n" ); document.write( "Adults = 190
\n" ); document.write( "Hope this helps :-)
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