document.write( "Question 1203064: There were 415 tickets purchased for a major league baseball game. The upper level  tickets cost ​$12.50 and the tickets cost ​$8.00 The total amount of money spent was ​$4085.00 How many of each kind of ticket were​ purchased? \n" ); document.write( "
Algebra.Com's Answer #838318 by ikleyn(52908)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "x tickets        at the price $12.50, and\r\n" );
document.write( "\r\n" );
document.write( "(415-x) tickets  at the price  $8.00.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write the total cost equation\r\n" );
document.write( "\r\n" );
document.write( "    12.50x + 8*(415-x) = 4085  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    12.50x + 3320 - 8x = 4085,\r\n" );
document.write( "\r\n" );
document.write( "    12.50x - 8x = 4085 - 3320\r\n" );
document.write( "\r\n" );
document.write( "         4.50x  =    765\r\n" );
document.write( "\r\n" );
document.write( "             x  =    765/4.50 = 170.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  170 tickets at the price of $12.50  and the rest, 415-170 = 245 tickets at the price of $8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  12.50*170 + 8*245 = 4085,  total cost.  ! 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( "To see many other similar solved problems using one equation in one unknown,  look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Typical problems on buying and selling items \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems using systems of two equations in two unknowns,  look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );