document.write( "Question 702096: Movie tickets at a local theater cost $6 for adults and $2 for children under 12. If 175 tickets were sold, with receipts of $750, how many children's tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #432804 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of children's tickets sold
\n" ); document.write( "Let $\"+b+\"$ = number of adult tickets sold
\n" ); document.write( "(1) $\"+a+%2B+b+=+175+\"$
\n" ); document.write( "(2) $\"+2a+%2B+6b+=+750+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2a+%2B+6b+=+750+\"$
\n" ); document.write( "(1) $\"+-2a+-+2b+=+-350+\"$
\n" ); document.write( " $\"+4b+=+400+\"$
\n" ); document.write( " $\"+b+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+175+\"$
\n" ); document.write( "(1) $\"+a+%2B+100+=+175+\"$
\n" ); document.write( "(1) $\"+a+=+75+\"$
\n" ); document.write( "75 children's tickets were sold
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2%2A75+%2B+6%2A100+=+750+\"$
\n" ); document.write( "(2) $\"+150+%2B+600+=+750+\"$
\n" ); document.write( "(2) $\"+750=+750+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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