document.write( "Question 986788: 88 tickets were sold to a concert. There were 9 fewer's tickets sold to seniors than children. There were 7 more adult tickets sold the children. How many tickets were sold to adults, to seniors, and the children? \n" ); document.write( "

Algebra.Com's Answer #607593 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+s+\"$ = number of senior tickets sold
\n" ); document.write( "Let $\"+a+\"$ = number of adult tickets sold
\n" ); document.write( "Let $\"+c+\"$ = number of children's tickets sold
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) $\"+s+%2B+a+%2B+c+=+88+\"$
\n" ); document.write( "(2) $\"+s+=+c+-+9+\"$
\n" ); document.write( "(3) $\"+a+=+c+%2B+7+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+c+-+9+%2B+c+%2B+7+%2B+c+=+88+\"$
\n" ); document.write( "(1) $\"+3c+=+88+%2B+9+-+7+\"$
\n" ); document.write( "(1) $\"+3c+=+90+\"$
\n" ); document.write( "(1) $\"+c+=+30+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+s+=+c+-+9+\"$
\n" ); document.write( "(2) $\"+s+=+30+-+9+\"$
\n" ); document.write( "(2) $\"+s+=+21+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+a+=+c+%2B+7+\"$
\n" ); document.write( "(3) $\"+a+=+30+%2B+7+\"$
\n" ); document.write( "(3) $\"+a+=+37+\"$
\n" ); document.write( "----------------
\n" ); document.write( "21 senior tickets were sold
\n" ); document.write( "37 adult tickets were sold
\n" ); document.write( "30 children's tickets were sold
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+s+%2B+a+%2B+c+=+88+\"$
\n" ); document.write( "(1) $\"+21+%2B+37+%2B+30+=+88+\"$
\n" ); document.write( "(1) $\"+88+=+88+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );