document.write( "Question 1137838: You have been tasked by your organization with taking a large group of children and adult chaperones to the amusement park for the day. Tickets to the amusement park cost $20 for children and $35 for adults. You purchased 108 tickets for a total of $2,655. How many children and how many adult tickets did you buy?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #755715 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x = # of adult tickets, y = # of  tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, you have these 2 equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         x +     y = 108        (1)    (counting tickets)\r\n" );
document.write( "\r\n" );
document.write( "      35*x +  20*y = 2655       (2)    (counting money)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From equation (1), express  y = 108 - x  and substitute it into equation (2), You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      35x + 20*(108-x) = 2655.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Express x and calculate answer\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 33.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then from equation (1),  y = 108 - 33 = 75.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  33 adults tickets and 75 children tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   33*35 + 75*20 = 2655 dollars.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "The problem solved using 2-equation setup and the Substitution method.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical ticket problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For ticket problems, read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From these lessons, learn on how to solve such problems once and for all.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );