document.write( "Question 1105671: hockey tickets at a local rink costs 10 dollars for adults and 7 dollars for children under twelve. if 200 tickets were sold with cash receipts of 1550 dollars how many adult tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #720533 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x be the number of adult tickets and y be the number of children tickets sold, then
\n" ); document.write( ":
\n" ); document.write( "1) x + y = 200
\n" ); document.write( ":
\n" ); document.write( "2) 10x + 7y = 1550
\n" ); document.write( ":
\n" ); document.write( "solve equation 1 for y
\n" ); document.write( ":
\n" ); document.write( "y = 200 - x
\n" ); document.write( ":
\n" ); document.write( "substitute for y in equation 2
\n" ); document.write( ":
\n" ); document.write( "10x +7(200 - x) = 1550
\n" ); document.write( ":
\n" ); document.write( "10x +1400 -7x = 1550
\n" ); document.write( ":
\n" ); document.write( "3x = 150
\n" ); document.write( ":
\n" ); document.write( "x = 50
\n" ); document.write( ":
\n" ); document.write( "********************************
\n" ); document.write( "there were 50 adult tickets sold
\n" ); document.write( ":
\n" ); document.write( "check the answer
\n" ); document.write( ":
\n" ); document.write( "substitute 50 for x and 150 for y in equation 2
\n" ); document.write( ":
\n" ); document.write( "10*50 + 7*150 = 1550
\n" ); document.write( ":
\n" ); document.write( "500 + 1050 = 1550
\n" ); document.write( ":
\n" ); document.write( "1550 = 1550
\n" ); document.write( "*********************************
\n" ); document.write( ": \n" ); document.write( "

\n" );