document.write( "Question 1192104: The school drama club hosted a spring musical. The club charged $3 per child and $5 per adult. A total of 374 tickets were sold, raising 1,524. How many child and adult tickets were sold?( Please explain/ show work as well ) \n" ); document.write( "
Algebra.Com's Answer #824025 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "If a formal algebraic solution is not required, here is a way to solve this kind of problem informally.

\n" ); document.write( "(1) If all 374 tickets were child tickets, the total raised would be 374($3) = $1122; the actual total was $1524; the difference is $1524-$1122 = $402.

\n" ); document.write( "(2) The cost of each adult ticket is $2 more than the cost of a child ticket.

\n" ); document.write( "(3) The number of adult tickets was $402/$2 = 201.

\n" ); document.write( "ANSWER 201 adults tickets; so 374-201 = 173 child tickets

\n" ); document.write( "CHECK: 201(5)+173(3) = 1005+519 = 1524

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