document.write( "Question 251535: There were 429 people at a play. Admission was $8 dollars each for adults and $4.50 each for children. The total receipts were $2641. How man adults and how many children attended?\r
\n" ); document.write( "\n" ); document.write( "Where did I go wrong ???\r
\n" ); document.write( "\n" ); document.write( "Adult tickets: x
\n" ); document.write( "Adult cost per ticket: 8.00
\n" ); document.write( "total: 8.00x
\n" ); document.write( "childrens tickets: (429-x)
\n" ); document.write( "childs cost per ticket: 4.50
\n" ); document.write( "total: 4.50(429-x)
\n" ); document.write( "8.00x+4.50(429-x)=2641
\n" ); document.write( "8.00x+1930.5-4.50x=2641
\n" ); document.write( "3.50x+1930.5=2641
\n" ); document.write( "3.50x=710.50
\n" ); document.write( "x=203\r
\n" ); document.write( "\n" ); document.write( "adult tickets: 203
\n" ); document.write( "child's tickets: 4.50(428-203)= 1017
\n" ); document.write( "total=203+1017=1220\r
\n" ); document.write( "\n" ); document.write( "This answer does not appear to total up...can some one tell me where i went wrong please :) thanks!!
\n" ); document.write( "

Algebra.Com's Answer #183210 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
this is where you went wrong
\n" ); document.write( "total=203+1017=1220 and child's tickets: 4.50(428-203)= 1017
\n" ); document.write( "It is 429 not 428
\n" ); document.write( "total=203+1017=1220 should be total=203+c=429
\n" ); document.write( "c is the number of children not the cost of the children's tickets
\n" ); document.write( "The two equations you need are
\n" ); document.write( "a=number of adults
\n" ); document.write( "c= number of children
\n" ); document.write( "a+c=429
\n" ); document.write( "8a+4.5c=2641
\n" ); document.write( "
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