document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091902>Question 1091902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P,Q and R are each mixtures of red and white paint.<BR>\n" );
document.write( "The percentage by volume of red paint in P is 30%.<BR>\n" );
document.write( "The percentage by volume of red paint in Q is 20%.<BR>\n" );
document.write( "The mixtures P,Q,and R are combined in the proportion 12:5:3 respectively.<BR>\n" );
document.write( " If the resulting mixture contains 25% by volume of red paint, what percentage<BR>\n" );
document.write( "by volume of mixture R is red paint ?\r<BR>\n" );
document.write( "\n" );
document.write( "  The answer was given as 13 and 1/3 % . Just asking about the steps to arrive<BR>\n" );
document.write( " at this answer.    Thank you,   Melton  Ellis  mellis7379@gmail.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706399 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>If P, Q, and R are mixed in the ratio 12:5:3, then we can let the amounts of P, Q, and R be represented by 12x, 5x, and 3x; that makes 20x the total amount of the mixture.<br><BR>\n" );
document.write( "Let y be the unknown percentage of R.  (To avoid having to use fractions, I will work the problem using percents....)  Then the amounts of red paint in the three ingredients are<BR>\n" );
document.write( "P: 30(12x)<BR>\n" );
document.write( "Q: 20(5x)<BR>\n" );
document.write( "R: y(3x)<br><BR>\n" );
document.write( "Then the total amount of red paint in the mixture is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2812x%29%2B20%285x%29%2By%283x%29+=+360x%2B100x%2B3yx+=+460x%2B3yx ALIGN=MIDDLE  ALT=\"30%2812x%29%2B20%285x%29%2By%283x%29+=+360x%2B100x%2B3yx+=+460x%2B3yx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then since the total amount of mixture is 20x, the percentage of red paint is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28460x%2B3yx%29%2F20x+=+%28460%2B3y%29%2F20 ALIGN=MIDDLE  ALT=\"%28460x%2B3yx%29%2F20x+=+%28460%2B3y%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "We know the percentage of red in the final mixture is 25; so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28460%2B3y%29%2F20+=+25 ALIGN=MIDDLE  ALT=\"%28460%2B3y%29%2F20+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=460%2B3y+=+500 ALIGN=MIDDLE  ALT=\"460%2B3y+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+40 ALIGN=MIDDLE  ALT=\"3y+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+40%2F3 ALIGN=MIDDLE  ALT=\"y+=+40%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The percentage of red paint in R is 40/3, or 13 1/3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );