document.write( "Question 1193740: members of the Benton Youth club attended a major-league baseball game. buying a total of 29 bleacher and lower reserved seats. Ticket prices are shown in the table below the total cost of the tickets was $ 913. how many of each kind of ticket was bought?
\n" ); document.write( "lower reserved $32
\n" ); document.write( "Bleacher $31 \n" ); document.write( "
Algebra.Com's Answer #825771 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "members of the Benton Youth club attended a major-league baseball game.
\n" ); document.write( "buying a total of 29 bleacher and lower reserved seats.
\n" ); document.write( "Ticket prices are shown in the table below the total cost of the tickets was $ 913.
\n" ); document.write( "how many of each kind of ticket was bought?
\n" ); document.write( "lower reserved $32
\n" ); document.write( "Bleacher $31
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the number of the lower reserved tickets.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of bleacher seats tickets is (29-x).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Total money for the seats is 32x + 31*(29-x).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total money equation is\r\n" );
document.write( "\r\n" );
document.write( "    32x + 31*(29-x) = 913.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    32x + 31*29 - 31x = 913\r\n" );
document.write( "\r\n" );
document.write( "    32x - 31x         = 913 - 31*29\r\n" );
document.write( "\r\n" );
document.write( "        x             =     14.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  14 lower reserved tickets and the rest 29-14 = 15 are bleacher seats tickets.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   14*32 + 15*31 = 913  dollars, total.   ! 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( "In this post, I showed you the solution procedure, starting from one-equation setup.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "There is another way to setup the problem using two equations\r\n" );
document.write( "\r\n" );
document.write( "     x +   y =  29      (1)      (counting number of tickets)\r\n" );
document.write( "\r\n" );
document.write( "   32x + 31y = 913      (2)      (counting total money)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If you start with two equation, then next step is to express\r\n" );
document.write( "\r\n" );
document.write( "    y = 29 - x\r\n" );
document.write( "\r\n" );
document.write( "and substitute it into equation (2)\r\n" );
document.write( "\r\n" );
document.write( "    32x + 31*(29-x) = 913.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Doing this way, you get the same equation as the starting equation in one-equation setup.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, you just know how to proceed further from this point . . . \r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Thus you may use / (you may start from) any of these two setup versions - it is on your choice,\r
\n" ); document.write( "\n" ); document.write( "and you should follow to the method accepted in your class.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            In such problems, one-equation setup usually provides a shorter way to the answer.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            But a good student should know both one-equation and two-equations setup and solution procedures.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            In any case, you just have everything that you need to know when you start learning this subject.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "///////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical 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 is a lesson\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "explaining and showing different methods of solving such problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From this lesson,  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" ); document.write( "
\n" );