document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123162>Question 1123162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cameron bought 3 boxes of candy. After buying them he had $7.50 left over. His 2 friends<BR>\n" );
document.write( "each bought 4 boxes of candy and had $1 left. When they walked in the store, Cameron<BR>\n" );
document.write( "had the same amount of money as both of his friends combined. Write an equation to find<BR>\n" );
document.write( "how much they spent on each box of candy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739427 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=739427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y equal the amount that cameron had to start with and the amount that his 2 friends had to start with.\r<BR>\n" );
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document.write( "let x = the price of a box of candy.\r<BR>\n" );
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document.write( "the equation for cameron is y - 3x = 7.5\r<BR>\n" );
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document.write( "the equation for his two friends is y - 8x = 2\r<BR>\n" );
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document.write( "they each bought 4 boxes of candy and had 1 dollar left.\r<BR>\n" );
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document.write( "combine what they bought and what they had left and you have 8 boxes of candy with 2 dollars left.\r<BR>\n" );
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document.write( "yout two equations that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "y - 3x = 7.5\r<BR>\n" );
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document.write( "y - 8x = 2\r<BR>\n" );
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document.write( "subtract the second equiation from the first toget 5x = 5.5\r<BR>\n" );
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document.write( "divide both sides of this equation by 5 to get x = 1.1\r<BR>\n" );
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document.write( "each box of candy cost $1.10.\r<BR>\n" );
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document.write( "cameron bought 3 for a total cost of $3.30.\r<BR>\n" );
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document.write( "add that to the 7.50 that he had left, and he started with 10.80.\r<BR>\n" );
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document.write( "his two friends bought 8 for a total cost of 8.80.\r<BR>\n" );
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document.write( "add that to the 2 they had left means they started with 10.80 as well.\r<BR>\n" );
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document.write( "aolution to the problem looks good asuming the problem was interpreted correctly.\r<BR>\n" );
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document.write( "the other interpretation i had was his two friends bought 4 boxes each and had 1 dollars left in total between them.\r<BR>\n" );
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document.write( "that would change the eqaution to:\r<BR>\n" );
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document.write( "y - 3x = 7.50\r<BR>\n" );
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document.write( "y - 8x = 1\r<BR>\n" );
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document.write( "in that case, subtracting the second equation from the first yields 5x = 6.50\r<BR>\n" );
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document.write( "solve for x to get x = 6.50 / 5 = 1.30.\r<BR>\n" );
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document.write( "in that case.\r<BR>\n" );
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document.write( "y = 3 * 1.30 = 7.50 results in y = 7.50 + 3.90 = 11.40\r<BR>\n" );
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document.write( "y - 8 * 1.30 = 1 results in y = 1 + 10.40 = 11.40\r<BR>\n" );
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document.write( "so, depending on hos the problem is interpreted, the answer could be that each box cost $1.10 or each box cost $1.30.\r<BR>\n" );
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document.write( "i would tend to go with the first interpretions which resulted in a cost of $1.10 for each box of candy, but there is always that possibility that the second interpretion was the one they meant.\r<BR>\n" );
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document.write( "got to pick one, so i'd go with the first.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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