Question 54709
Ax+By=C [Use the standard equation of a line]
x+y=23 [Total tickets sold, so substitute (y=23-x)]
($10)(x)+($11)(23-x)=$246
10x+11(23-x)=246
10x+253-11x=246
10x-11x=246-253
-1x=-7
x=7
.
So,
Children's tickets=($10)(7)=$70
Adult's tickets = ($11)(23-7)=$176
$176+$70=$246