document.write( "Question 539596: There are 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game? \n" ); document.write( "

Algebra.Com's Answer #353474 by josmiceli(19441) $\"\"$ $\"About$

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$\"+a+\"$ = number of students attending
\n" ); document.write( " $\"+b+\"$ = number of adults attending
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+155+\"$
\n" ); document.write( "(2) $\"+2.5a+%2B+4b+=+492.5+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(2) $\"+25a+%2B+40b+=+4925+\"$
\n" ); document.write( "(2) $\"+5a+%2B+8b+=+985+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+8b+=+985+\"$
\n" ); document.write( "(1) $\"+-5a+-5b+=+-775+\"$
\n" ); document.write( " $\"+3b+=+210+\"$
\n" ); document.write( " $\"+b+=+70+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+70+=+155+\"$
\n" ); document.write( "(1) $\"+a+=+85+\"$
\n" ); document.write( "85 students attended
\n" ); document.write( "70 adults attended
\n" ); document.write( "(2) $\"+5%2A85+%2B+8%2A70+=+985+\"$
\n" ); document.write( "(2) $\"+425++%2B+560+=+985+\"$
\n" ); document.write( "(2) $\"+985+=+985+\"$
\n" ); document.write( "OK \n" ); document.write( "

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