document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637537>Question 637537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help on this stumper would be greatly appreciated - <BR>\n" );
document.write( "Daniel mixes a powdered sports drink with cold water. For best taste, the mix should be 96% water. If Daniel has used 16 scoops of powder and added 2 quarts of water, how many gallons of water should he add, given that each scoop is 1/4 cup? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401784 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=401784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am to assume that the problem meant to say that you have to mix 4 parts of powder to 96 parts of water, measuring by volume.<BR>\n" );
document.write( "That is a 1:24 ratio (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F96=1%2F24 ALIGN=MIDDLE  ALT=\"4%2F96=1%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "For the 2 scoops (1/2 cup) of powder Daniel added, he should have used 12 cups (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A%281%2F2%29=12 ALIGN=MIDDLE  ALT=\"24%2A%281%2F2%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "There are 4 cups in a quart, so Daniel should have used 3 quarts of water (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F4=3 ALIGN=MIDDLE  ALT=\"12%2F4=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "Since Daniel only added 2 quarts, he needs to add 1 quart more.<BR>\n" );
document.write( "There are 4 quarts in a gallon, so Daniel needs to add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > gallon of water.<BR>\n" );
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document.write( "NOTES:<BR>\n" );
document.write( "To a chemist, like me, the problem sounds wrong. With any scientifically sound interpretation of the wording, it would impossible to solve  due to lack of information.<BR>\n" );
document.write( "96% water would mean 96 grams of water mixed with 4 grams of powder, making 100 g mixture, and if w/w (weight in weight) were specified, it would be even clearer.<BR>\n" );
document.write( "The density of water can be assumed to be 1.00g/mL, but we do not know the bulk density of the powder, so we do not know how many grams of powder were used.<BR>\n" );
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document.write( "It would be worse if the drink had to be 4% powder w/v (weight in volume, meaning 4 g powder in 100 mL final drink volume), beause we would not know the density of the correctly formulated drink.\r<BR>\n" );
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