document.write( "Question 1154228: adult tickets cost 8$ and student tickets for the concert cost 4$ exactly 290 tickets were sold and there was 1,440 made total how many students and adults tickets were sold \n" ); document.write( "
Algebra.Com's Answer #776625 by ikleyn(53937)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "From the condition, you have this system of 2 equations in 2 unknowns\r\n" );
document.write( "\r\n" );
document.write( "    x +  y =  290       (1)   (total number of tickets)\r\n" );
document.write( "\r\n" );
document.write( "   8x + 4y = 1440       (2)   (total money)\r\n" );
document.write( "\r\n" );
document.write( "where x = # of adult tickets,  y = # of student tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From equation (1), express y = 290-x  and substitute it into equation (2), replacing y.  You will get then\r\n" );
document.write( "\r\n" );
document.write( "    8x + 4*(290-x) = 1440.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the last equation\r\n" );
document.write( "\r\n" );
document.write( "    x = \"%281440-4%2A290%29%2F%288-4%29\" = 70.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  70 adult tickets and 290-70 = 220 student tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   8*70 + 4*220 = 1440 dollars.   ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard tickets problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems.
\n" ); document.write( "In this site, there are 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( "explaining and showing all basic methods of solving such problems.\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 lesson is 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( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );