document.write( "Question 145195: Tickets for a play at the community theater cost $18 for an adult and $10 for a child. If 80 tickets were sold and the total receipts were $1040, how many of each type of ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #105871 by jojo14344(1513) $\"\"$ $\"About$

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Okay, let \"x\"= adult's ticket, and \"y\"= child's ticket
\n" ); document.write( "since 80 tickets were sold, \"x+y = 80\" right? ---------- eqn 1
\n" ); document.write( "We know the cost for each adult's ticket and also for the child that totals $1040. Putting that into equation,
\n" ); document.write( "$18(x) + $10(y) = $1040 --------------- eqn 2
\n" ); document.write( "In eqn 1 we get, \"y=80-x\", and substitute this in eqn 2:
\n" ); document.write( "18(x)+ 10(80-x) = 1040
\n" ); document.write( "18x+800-10x=1040
\n" ); document.write( "8x=1040-800
\n" ); document.write( "x=30 ---------------- This the number of adult's ticket sold
\n" ); document.write( "For y, go back eqn 1,
\n" ); document.write( "30+y=80
\n" ); document.write( "y=80-30=50 ---------------- This the number of child's ticket sold
\n" ); document.write( "In doubt? Go back eqn 2,
\n" ); document.write( "18(30)+10(50) = 1040
\n" ); document.write( "540+500=1040
\n" ); document.write( "$1040=$1040
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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