document.write( "Question 1208221: A stadium has 50,000 seats. Seats sell for ​$35 in Section​ A, ​$20 in Section​ B, and ​$15 in Section C.
\n" ); document.write( "The number of seats in Section A equals the total number of seats in Sections B and C.
\n" ); document.write( "Suppose the stadium takes in ​$1,323,000 from each​ sold-out event. How many seats does each section​ hold? \n" ); document.write( "
Algebra.Com's Answer #846503 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A stadium has 50,000 seats. Seats sell for ​$35 in Section​ A, ​$20 in Section​ B, and ​$15 in Section C.
\n" ); document.write( "The number of seats in Section A equals the total number of seats in Sections B and C.
\n" ); document.write( "Suppose the stadium takes in ​$1,323,000 from each​ sold-out event. How many seats does each section​ hold?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "We assume that all tickets are sold and the amount $1,323,000  relates to 50,000 sold tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since \"the number of seats in Section A equals the total number of seats in Sections B and C<\r\n" );
document.write( "it means that the number of seats in section A is half of the total 50,000 seats, i.e. 25,000 seats,\r\n" );
document.write( "while the total number of seats in sections B and C is another half of the total 50,000 seats,\r\n" );
document.write( "i.e. 25.000 seats.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus, part of the problem is just solved: we derived that section A has 25,000 seats.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From it, we conclude that the cost of tickets sold in sections B and C is\r\n" );
document.write( "\r\n" );
document.write( "    1323000 - 25000*35 = 448000  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus we know that total number of seats in sections B and C is 25,000  and the total cost of tickets\r\n" );
document.write( "sold in these section B and C is 448000 dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let x be the number of seats in section B.  Then the number of seats in section C is 25000-x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Having it, write an equation for the total cost of tickets in sections B and C\r\n" );
document.write( "\r\n" );
document.write( "    20x + 15(25000-x) = 448000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    20x + 15*25000 - 15x = 448000\r\n" );
document.write( "\r\n" );
document.write( "    20x - 15x = 448000 - 15*25000\r\n" );
document.write( "\r\n" );
document.write( "        5x    =     73000\r\n" );
document.write( "\r\n" );
document.write( "         x    =     73000/5 = 14600.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  There are  25000 seats in section A;  14600 seats in section B  and  25000-14600 = 10400 seats in section C.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   The total cost of all tickets is  35*25000 + 20*14600 + 15*10400 = 1,323000  dollars.\r\n" );
document.write( "\r\n" );
document.write( "         It coincides with the given value.  Hence, the solution is correct.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );