document.write( "Question 270054: Two types of tickets are sold for a concert. Adult tickets each cost $20, while child tickets each cost $10. A total of 150 tickets are sold, bringing in a total of $2,470. How many adult tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #197893 by josmiceli(19441) $\"\"$ $\"About$

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$\"a\"$ = number of adult tickets sold
\n" ); document.write( " $\"c\"$ = number of children's tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+c+=+150\"$
\n" ); document.write( "(2) $\"20a+%2B+10c+=+2470\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"2a+%2B+c+=+247\"$
\n" ); document.write( "(1) $\"-a+-+c+=+-150\"$
\n" ); document.write( " $\"a+=+97\"$
\n" ); document.write( "97 adult tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "and from (1),
\n" ); document.write( " $\"97+%2B+c+=+150\"$
\n" ); document.write( " $\"c+=+150+-+97\"$
\n" ); document.write( " $\"c+=+53\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"20a+%2B+10c+=+2470\"$
\n" ); document.write( " $\"20%2A97+%2B+10%2A53+=+2470\"$
\n" ); document.write( " $\"1940+%2B+530+=+2470\"$
\n" ); document.write( " $\"2470+=+2470\"$
\n" ); document.write( "OK\r
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