document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116013>Question 1116013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Greetings everyone I have this following math word problem,\r<BR>\n" );
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document.write( "Noah's class held a food drive for the holidays.There are a total of 25 students in his class.On average, each boy and each girl brought in 3 cans of food.If the class brought in a total of 75 cans of food, how many girls are in class?\r<BR>\n" );
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document.write( "Thanks for any help in advance.(´&#9661;&#65344;)=b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730833 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there were 25 students in the class.<BR>\n" );
document.write( "each boy brought in 3 cans of food.<BR>\n" );
document.write( "each girl brought in 3 cans of food.\r<BR>\n" );
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document.write( "the total number of cans of food that were brought is 75.\r<BR>\n" );
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document.write( "there is no way of telling how many boys or girls are in the class.\r<BR>\n" );
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document.write( "let x = number of boys.<BR>\n" );
document.write( "let y = nmber of girls.\r<BR>\n" );
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document.write( "x + y = 25<BR>\n" );
document.write( "3x + 3y = 75\r<BR>\n" );
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document.write( "these equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 3 and subtract the first eauation from the second.\r<BR>\n" );
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document.write( "you get 0 + 0 = 0\r<BR>\n" );
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document.write( "since both variables dropped out of the equation, then x or y can be any number that's valid.\r<BR>\n" );
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document.write( "the number of girls will be equal to the total minus the number of boys.\r<BR>\n" );
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document.write( "the number of girls can be anything between 0 and 25.\r<BR>\n" );
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document.write( "if the number of girls is 0, the number of boys is 25.<BR>\n" );
document.write( "if the number of girls is 25, the number of boys is 0.\r<BR>\n" );
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document.write( "x can be anything between 0 and 25.\r<BR>\n" );
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document.write( "once you pick x, y will be 25 - x.\r<BR>\n" );
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document.write( "you will need tomething more to solve these equation.\r<BR>\n" );
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document.write( "something like each boy brought an average of 3 cans and each girl brought an average of 6 cans for a total of 105 cans.\r<BR>\n" );
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document.write( "your 2 equation then becomes:\r<BR>\n" );
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document.write( "x + y = 25<BR>\n" );
document.write( "3x + 6y = 105\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 3 to get:\r<BR>\n" );
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document.write( "3x + 3y = 75<BR>\n" );
document.write( "3x + 6y = 105\r<BR>\n" );
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document.write( "subtract first equation from second toget 3y = 30<BR>\n" );
document.write( "solve for y to get y = 10\r<BR>\n" );
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document.write( "since y = 10, x must be 15 because 25 - 10 = 15\r<BR>\n" );
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document.write( "you have x = 15 and y = 10<BR>\n" );
document.write( "3x + 10y = 45 + 60 = 105.<BR>\n" );
document.write( "x + y = 25\r<BR>\n" );
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document.write( "now the equation could be solved with the number of boys = 15 and the number of girls = 10.\r<BR>\n" );
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document.write( "as you originally expressed it, there is no one solution that works.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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