document.write( "Question 412123: A theater has 80 seats. On opening night, they sold out, selling adult tickets for $12 each and child tickets for $5 each. If they made a total of $519, how many child tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #289537 by josmiceli(19441) $\"\"$ $\"About$

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$\"a\"$ = number of adult tickets sold
\n" ); document.write( " $\"c\"$ = number of child tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+c+=+80\"$
\n" ); document.write( "(2) $\"12a+%2B+5c+=+519\"$
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"12a+%2B+5c+=+519\"$
\n" ); document.write( "(1) $\"-5a+-+5c+=+-400\"$
\n" ); document.write( " $\"7a++=+119\"$
\n" ); document.write( " $\"a+=+17\"$
\n" ); document.write( "And from (1),
\n" ); document.write( "(1) $\"a+%2B+c+=+80\"$
\n" ); document.write( "(1) $\"17+%2B+c+=+80\"$
\n" ); document.write( "(1) $\"c+=+63\"$
\n" ); document.write( "63 child tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"12a+%2B+5c+=+519\"$
\n" ); document.write( "(2) $\"12%2A17+%2B+5%2A63+=+519\"$
\n" ); document.write( "(2) $\"204+%2B+315+=+519\"$
\n" ); document.write( "(2) $\"519+=+519\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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