document.write( "Question 1145257: A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each faculty paid$25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening? \n" ); document.write( "
Algebra.Com's Answer #766478 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            It can be solved MENTALLY, without using equation/equations.\r
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document.write( "Let assume for a minute that all 100 bought tickets were student tickets.\r\n" );
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document.write( "Then the total would be 100*10 = 1000 dollars.\r\n" );
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document.write( "But it was 1300 dollars.  \r\n" );
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document.write( "The shortage of 1300 - 1000 = 300 dollars is due to the assumption that all tickets were student tickets.\r\n" );
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document.write( "Hence, we should correct our assumption, by replacing some of 100 tickets (that we assumed to be student tickets)\r\n" );
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document.write( "by faculty tickets.\r\n" );
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document.write( "Each replacement diminishes the shortage of 300 dollars by (25-10) = 15 dollars.\r\n" );
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document.write( "Hence, we should replace  300/15 = 20 tickets.\r\n" );
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document.write( "It means that there were 20 faculty tickets and 100-20 = 80 student tickets.\r\n" );
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document.write( "CHECK.  80*10 + 20*25 = 800 + 500 = 1300 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard tickets problem.\r
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\n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems.
\n" ); document.write( "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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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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