document.write( "Question 524702: Linda was selling tickets for the school play. she sold 10 more adult tickets than children tickets and she sold as many senior tickets as children tickets, Adult tickets were sold for $5, children tickets were $2 and senior tickets were for $3. Linda made a total of $700. How many of each type of ticket Linda sold \n" ); document.write( "

Algebra.Com's Answer #347886 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( "Let $\"s\"$ = number of senior tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a++=+c+%2B+10+\"$
\n" ); document.write( "(2) $\"+s+=+c+\"$
\n" ); document.write( "(3) $\"+2c+%2B+5a+%2B+3s+=+700+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+2c+%2B+5%2A%28c%2B10%29+%2B+3c+=+700+\"$
\n" ); document.write( "(3) $\"+2c+%2B+5c+%2B+50+%2B+3c+=+700+\"$
\n" ); document.write( "(3) $\"+10c+=+650+\"$
\n" ); document.write( "(3) $\"+c+=+65+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+s+=+c+\"$
\n" ); document.write( "(2) $\"+s+=+65+\"$
\n" ); document.write( "also
\n" ); document.write( "(1) $\"+a+=+c+%2B+10+\"$
\n" ); document.write( "(1) $\"+a+=+65+%2B+10+\"$
\n" ); document.write( "(1) $\"+a+=+75+\"$
\n" ); document.write( "Linda sold
\n" ); document.write( "65 children's tickets
\n" ); document.write( "75 adult tickets
\n" ); document.write( "65 senior tickets
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+2c+%2B+5a+%2B+3s+=+700+\"$
\n" ); document.write( "(3) $\"+2%2A65+%2B+5%2A75+%2B+3%2A65+=+700+\"$
\n" ); document.write( "(3) $\"+130+%2B+375+%2B+195+=+700+\"$
\n" ); document.write( "(3) $\"+700+=+700+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );