document.write( "Question 393885: concert tickets cost $24 an adult, $15 a child, and $12 a senior, If they made $5670 dollars, and 5 times as many adults attended as seniors, and 2 times as many children attended then seniors, how could i set up a system of equations ,and find how much of each ticket was sold? \n" ); document.write( "

Algebra.Com's Answer #279472 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = number of senior tickets sold
\n" ); document.write( "Let $\"b\"$ = number of child tickets sold
\n" ); document.write( "Let $\"c\"$ = number of adult tickets sold
\n" ); document.write( "------------
\n" ); document.write( "given:
\n" ); document.write( " $\"12a+%2B+15b+%2B+24c+=+5670\"$
\n" ); document.write( " $\"c+=+5a\"$
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( "Now by substitution:
\n" ); document.write( " $\"12a+%2B+15%2A%282a%29+%2B+24%2A%285a%29+=+5670\"$
\n" ); document.write( " $\"12a+%2B+30a+%2B+120a++=+5670\"$
\n" ); document.write( " $\"162a+=+5670\"$
\n" ); document.write( " $\"a+=+35\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"c+=+5a\"$
\n" ); document.write( " $\"c+=+175\"$
\n" ); document.write( "and, also
\n" ); document.write( " $\"b+=+2a\"$
\n" ); document.write( " $\"b+=+70\"$
\n" ); document.write( "35 senior, 70 child, and 175 adult tickets were sold
\n" ); document.write( "Check answer by plugging back into
\n" ); document.write( " $\"12a+%2B+15b+%2B+24c+=+5670\"$ \n" ); document.write( "

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