document.write( "Question 577694: Adult tickets for the championship game are usually $5, but on Seniors' Day, seniors paid $4. Children's tickets were $2.50. Sales of 1,800 tickets totaled $7,425, and children and seniors accounted for one-half of the tickets sold. How many of each ticket was sold? \n" ); document.write( "
Algebra.Com's Answer #370269 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = number of adult tickets sold
\n" ); document.write( "Let \"c\" = number of children's tickets sold
\n" ); document.write( "Let \"s\" = number of senior's tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+c+%2B+s+=+1800+\"
\n" ); document.write( "(2) \"+5a+%2B+2.5c+%2B+4s+=+7425+\"
\n" ); document.write( "(3) \"+c+%2B+s+=+900+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract (3) from (1)
\n" ); document.write( "(1) \"+a+%2B+c+%2B+s+=+1800+\"
\n" ); document.write( "(3) \"+-c+-+s+=+-900+\"
\n" ); document.write( "\"+a+=+900+\"
\n" ); document.write( "------------
\n" ); document.write( "and
\n" ); document.write( "(3) \"+c+%2B+s+=+900+\"
\n" ); document.write( "(3) \"+c+=+900+-+s+\"
\n" ); document.write( "----------------
\n" ); document.write( "Substitute into (2)
\n" ); document.write( "(2) \"+5a+%2B+2.5c+%2B+4s+=+7425+\"
\n" ); document.write( "(2) \"+5%2A900+%2B+2.5%2A%28+900+-+s+%29+%2B+4s+=+7425+\"
\n" ); document.write( "(2) \"+4500+%2B+2250+-+2.5s+%2B+4s+=+7425+\"
\n" ); document.write( "(2) \"+1.5s+=+7425+-+4500+-+2250+\"
\n" ); document.write( "(2) \"+1.5s+=+675+\"
\n" ); document.write( "(2) \"+s+=+675%2F1.5+\"
\n" ); document.write( "(2) \"+s+=+450+\"
\n" ); document.write( "and, since
\n" ); document.write( "(3) \"+c+=+900+-+s+\"
\n" ); document.write( "(3) \"+c+=+900+-+450+\"
\n" ); document.write( "(3) \"+c+=+450+\"
\n" ); document.write( "900 adult tickets were sold
\n" ); document.write( "450 children's tickets were sold
\n" ); document.write( "450 senior's tickets were sold
\n" ); document.write( "
\n" );