document.write( "Question 155887: Adult tickets for a play cost $25 each and children's tickets cost $15each. The total receipts were $7200 and the total attendance was 400. How many adults and how many children attended? \n" ); document.write( "

Algebra.Com's Answer #114841 by jojo14344(1513) $\"\"$ $\"About$

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Remember:
\n" ); document.write( " $\"Adult=A=25.00\"$
\n" ); document.write( " $\"Children=C=15.00\"$
\n" ); document.write( "Total attendance =400, so $\"A%2BC=400\"$ ----------------------> eqn 1
\n" ); document.write( "Total receipts = $7200.00:
\n" ); document.write( " $\"25.00A%2B15.00C=7200\"$ --------------------------------------> eqn 2
\n" ); document.write( "In eqn 1 we get, $\"C=400-A\"$ --> substitute in eqn 2:
\n" ); document.write( " $\"25A%2B15%28400-A%29=7200\"$
\n" ); document.write( " $\"25A%2B6000-15A=7200\"$
\n" ); document.write( " $\"10A=7200-6000\"$
\n" ); document.write( " $\"10A=1200\"$ -----> $\"cross%2810%29A%2Fcross%2810%29=cross%281200%29120%2Fcross%2810%29\"$
\n" ); document.write( " $\"A=120\"$ --------------------> no. of Adults attended
\n" ); document.write( "For Children, go back eqn 1:
\n" ); document.write( " $\"120%2BC=400\"$
\n" ); document.write( " $\"C=400-120=280\"$ ------------> no. of Children attended
\n" ); document.write( "In doubt? go back eqn 2:
\n" ); document.write( " $\"25%2A120-15%2A280=7200\"$
\n" ); document.write( " $\"3000%2B4200=7200\"$
\n" ); document.write( " $\"7200=7200\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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