document.write( "Question 469347: Prices for the movie were $4.00 for children and $8.00 for adults. The total amount of ticket sales was $1,176. There were 172 tickets sold. How many adult tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #321991 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = number of children's tickets sold
\n" ); document.write( "Let $\"a\"$ = number of adult tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+4c+%2B+8a+=+1176+\"$
\n" ); document.write( "(2) $\"+c+%2B+a+=+172+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Multiply both sides of (2) by $\"+4+\"$ , and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+4c+%2B+8a+=+1176+\"$
\n" ); document.write( "(2) $\"+-4c+-+4a+=+-688+\"$
\n" ); document.write( " $\"+4a+=+488+\"$
\n" ); document.write( " $\"+a+=+122+\"$
\n" ); document.write( "122 adult tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+c+%2B+a+=+172+\"$
\n" ); document.write( "(2) $\"+c+=+172+-+a+\"$
\n" ); document.write( "(2) $\"+c+=+172+-+122+\"$
\n" ); document.write( "(2) $\"+c+=+50+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+4c+%2B+8a+=+1176+\"$
\n" ); document.write( "(1) $\"+4%2A50+%2B+8%2A122+=+1176+\"$
\n" ); document.write( "(1) $\"+200+%2B+976+=+1176+\"$
\n" ); document.write( "(1) $\"+1176+=+1176+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );