# SOLUTION: Adult tickets for a play cost \$11 and child tickets cost \$10. If there were 23 people at a performance and the theater collected \$246 from ticket sales, how many children attended

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 Click here to see ALL problems on Money Word Problems Question 54709: Adult tickets for a play cost \$11 and child tickets cost \$10. If there were 23 people at a performance and the theater collected \$246 from ticket sales, how many children attended the play?Found 2 solutions by checkley71, tutorcecilia:Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!A+C=23 11A+10C=246 A=23-C 11(23-C)+10C=246 253-11C+10C=246 -C=246-253 -C=-7 C=7 THEN A+7=23 A=23-7 A=16 PROOF 11*16+10*7=246 176+70=246 246=246 Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!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