document.write( "Question 1171608: Word problems are my weakness, please help\r
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document.write( "Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $30. For one performance, there were 40 tickets sold in all, and the total amount paid for them was $1325. How many tickets of each type were sold? \n" );
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Algebra.Com's Answer #796514 by ikleyn(52873) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the number of advance tickets.\r\n" ); document.write( "\r\n" ); document.write( "Then the number of same-day tickets is (40-x), OBVIOUSLY.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, you write the total money equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 35x + 30*(40-x) = 1325 (total money).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your basic equation for this problem.\r\n" ); document.write( "\r\n" ); document.write( "As soon as you understand on how to get it and how to write it, the setup is complete and you are a winner.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The rest is just a technique.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To solve the equation, simplify it\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 35x + 1200 - 30x = 1325\r\n" ); document.write( "\r\n" ); document.write( " 35x - 30x = 1325 - 1200\r\n" ); document.write( "\r\n" ); document.write( " 5x = 125\r\n" ); document.write( "\r\n" ); document.write( " x = 125/5 = 25.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 25 advanced tickets and (40-25) = 15 same-day tickets.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 25*35 + 15*30 = 1325, total money. ! Precisely correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The problem is just solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please let me know if everything is clear to you in my solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do not hesitate to ask questions, if you have some.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \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 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( "/\/\/\/\/\/\/\/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In studying word problems, the major thing is to learn it from a good source.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Please do not forget to post your \"THANKS\" to me for my teaching.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |