document.write( "Question 365353: admission to a movie theater is $7 and $5 for children. if the receipts from 200 tickets were $1120, how many adult tickets and how many children's tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #260444 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = number of adult tickets sold
\n" ); document.write( "Let $\"b\"$ = number of children's tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"7a+%2B+5b+=+1120\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+200\"$
\n" ); document.write( "Multiply both sids of (2) by $\"5\"$ and subtract
\n" ); document.write( "from(1)
\n" ); document.write( "(1) $\"7a+%2B+5b+=+1120\"$
\n" ); document.write( "(2) $\"-5a+-+5b+=+-1000\"$
\n" ); document.write( " $\"2a+=+120\"$
\n" ); document.write( " $\"a+=+60\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+%2B+b+=+200\"$
\n" ); document.write( " $\"b+=+200+-+60\"$
\n" ); document.write( " $\"b+=+140\"$
\n" ); document.write( "60 adult tickets and 140 children's tickets were sold \n" ); document.write( "

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