document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277746>Question 277746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer’s expectations, pigments of varying strength are blended to obtain what is called a “100% strength” commercial standard. The plant has 5000 pounds of Pigment Red 1 with strength of 123% of the standard, and they also have 17,890 pounds of Pigment Red 1 at 87% strength versus the same commercial standard.<BR>\n" );
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document.write( "Your boss wants to know how much of the 87% material is needed to blend with the 5000 pounds of the 123% material so that the final strength of the blended material is 100% strength. What do you tell him?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202158 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=202158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer’s expectations, pigments of varying strength are blended to obtain what is called a “100% strength” commercial standard. <BR>\n" );
document.write( "The plant has 5000 pounds of Pigment Red 1 with strength of 123% of the standard, and they also have 17,890 pounds of Pigment Red 1 at 87% strength versus the same commercial standard.\r<BR>\n" );
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document.write( "Your boss wants to know how much of the 87% material is needed to blend with the 5000 pounds of the 123% material so that the final strength of the blended material is 100% strength. What do you tell him?<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "red + red = red<BR>\n" );
document.write( "1.23x + 0.87(5000-x) = 1.00(5000)<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "123x + 87*5000 - 87x = 100*5000<BR>\n" );
document.write( "36x = 13*5000<BR>\n" );
document.write( "x = 1805.56 lbs (amt of 123% pigment needed for the mixture)<BR>\n" );
document.write( "5000-1805.56 = 3194.44 lbs (amt of 87% pigment needed for the mixture)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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