document.write( "Question 1137198: There were 345 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $2809.50. How many of each kind of ticket were purchased? \n" ); document.write( "

Algebra.Com's Answer #755068 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x = # of lower reserved tickets, y = # of upper reserved tickets.\r\n" );
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document.write( "From the condition, you have these 2 equations\r\n" );
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document.write( "         x +      y = 345        (1)    (counting tickets)\r\n" );
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document.write( "    9.50*x + 8.00*y = 2809.50    (2)   (counting money)\r\n" );
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document.write( "From equation (1), express  y = 345 - x  and substitute it into equation (2), You will get\r\n" );
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document.write( "    9.50x + 8*(345-x) = 2809.50.\r\n" );
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document.write( "Express x and calculate answer\r\n" );
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document.write( "    x =  = 33.\r\n" );
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document.write( "Then from equation (1),  y = 345 - 33 = 312.\r\n" );
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document.write( "ANSWER.  33 lower reserved tickets and 312 upper reserved tickets.\r\n" );
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document.write( "CHECK.   33*9.50 + 312*8 = 2809.50 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem solved using 2-equation setup and the Substitution method.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical ticket problem.\r
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\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
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\n" ); document.write( "\n" ); document.write( "From these lessons, learn on how to solve such problems once and for all.\r
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\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
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\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
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