document.write( "Question 1151868: Mario's Marionettes donated free tickets for their show to the local day care centre. They claimed that value of these tickets was $176.75. A child's ticket cost $5.50 and an adult ticket cost $8.75. If there were three times as many children's ticket as adult tickets, how many adults and children got to attend the show for free? \n" ); document.write( "

Algebra.Com's Answer #773730 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let A be the number of adult tickets.\r\n" );
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document.write( "Then the number of children tickets is  (3A), according to the condition.\r\n" );
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document.write( "And the revenue equation is then\r\n" );
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document.write( "    5.50*(3A) + 8.75*A = 176.75  dollars.\r\n" );
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document.write( "Simplify ans solve for A\r\n" );
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document.write( "    A =  = 7.\r\n" );
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document.write( "ANSWER.  7 adult tickets and 3*7 = 21 children tickets.\r\n" );
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document.write( "CHECK.   7*8.75 + 21*5.50 = 176.75 dollars.    ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( " You (and me) may retell the same solution in other words.\r
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document.write( "According to the condition, you can group all visitors in sets in a way that ech set contains 1 adult and 3 children.\r\n" );
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document.write( "The cost of rickets for each such group will be  8.75 + 3*5.50 dollars = 25.25 dollars.\r\n" );
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document.write( "The number of such groups will be  .\r\n" );
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document.write( "When you divide using your computer, you will get the number of 7.\r\n" );
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document.write( "So, there are 7 such groups.\r\n" );
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document.write( "It means that there are 7 adults and 7*3 = 21 children, in all.\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, you solved the problem by different way.\r
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\n" ); document.write( "\n" ); document.write( "Solved ? --- No, simply re-told the same Algebra solution in other words.
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\n" ); document.write( "\n" ); document.write( "Every day we solve 3 - 5 - 7 such problems at the forum.\r
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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( "In this site, there are 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
\n" ); document.write( "\n" ); document.write( "explaining and showing all basic methods of solving such problems.\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 lesson is 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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