document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137381>Question 1137381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 100g of sugar dissolved in 1.5l of water. How much sugar is present if you take 0.5qt of the liquid from the solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755255 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=755255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 100 grams of sugar dissolved in 1.5 liters of water.<BR>\n" );
document.write( "you want to remove 1 quart of the solution.\r<BR>\n" );
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document.write( "you have 100 grams of sugar dissolved in 1.5 liters of water.\r<BR>\n" );
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document.write( "the ratio of grams of sugar to liters of water is 100 / 1.5.\r<BR>\n" );
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document.write( "1 quart is equal to 0.946353 liters.\r<BR>\n" );
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document.write( "1/2 of a quart is therefore equal to 1/2 * .946353 liters which is equal to .4731765 liters.\r<BR>\n" );
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document.write( "when you remove 1/2 of a quart of liquid, you are also removing 100 / 1.5 * .4731765 = 31.5451 grams of sugar.\r<BR>\n" );
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document.write( "this assumes the ratio of sugar to liquid remains the same.\r<BR>\n" );
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document.write( "the amount of liquid that is left is 1.5 - .4731765 = 1.0268235 liters.\r<BR>\n" );
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document.write( "the amount of sugar that is left is 100 / 1.5 * 1.0268235 = 68.4549 grams of sugar.\r<BR>\n" );
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document.write( "add up the sugar that is removed and the sugar that is left and you get 31.5451 + 68.4549 = 100 grams of sugar.\r<BR>\n" );
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document.write( "add up the liquid that is removed and the liquid that is left and you get .4731765 + 1.0268235 = 1.5 liters of water.\r<BR>\n" );
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document.write( "the assumption is that, when you remove the water, you are also removing the sugar that is dissolved in the water.\r<BR>\n" );
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document.write( "the question is:  How much sugar is present if you take 0.5qt of the liquid from the solution?\r<BR>\n" );
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document.write( "if you are asking how much sugar is present in the half a quart that is removed, then the answer is 31.5451 grams.\r<BR>\n" );
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document.write( "if you are asking how much sugar is left in the solution after you have removed half a qoart, then the answer is 68.4549 grams.\r<BR>\n" );
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document.write( "hopefully, i understood your problem correctly.\r<BR>\n" );
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document.write( "let me know if there's another interpretation that i might have missed.<BR>\n" );
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