document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511163>Question 511163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a company wants to mix 25 pounds of peanuts worth $3 a pound with cashews worth $6 a pound in order to make an experimental mix worth $4.50 a pound. How many pounds of cashews should be added to the peanuts? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342029 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=342029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cashew=c<BR>\n" );
document.write( "Total cost of Cashews=$6c<BR>\n" );
document.write( "Peanuts=25 lb<BR>\n" );
document.write( "Total cost of Peanuts=3*25=$75<BR>\n" );
document.write( "Mixture=m lb<BR>\n" );
document.write( "Total cost of mixture = $4.50(m)<BR>\n" );
document.write( "=================================================================<BR>\n" );
document.write( "Cashew+Peanuts=mixture<BR>\n" );
document.write( "c+25=m<BR>\n" );
document.write( "c=m-25................(1)<BR>\n" );
document.write( "================================================================<BR>\n" );
document.write( "Total cost of Cashews+Total cost of Peanuts=Total cost of mixture<BR>\n" );
document.write( "6c+75=4.50m<BR>\n" );
document.write( "6c=4.50m-75<BR>\n" );
document.write( "6c/6=(4.50m-75)/6<BR>\n" );
document.write( "c=(4.50m-75)/6...........(2)<BR>\n" );
document.write( "================================================================<BR>\n" );
document.write( "Put the value of c from (1) to (2)<BR>\n" );
document.write( "c=(4.50m-75)/6...........(2)<BR>\n" );
document.write( "m-25=(4.50m-75)/6<BR>\n" );
document.write( "6(m-25)=4.50m-75<BR>\n" );
document.write( "6m-150=4.50m-75<BR>\n" );
document.write( "6m-4.50m=-75+150<BR>\n" );
document.write( "1.5m=75<BR>\n" );
document.write( "1.5m/1.5=75/1.5<BR>\n" );
document.write( "m=50<BR>\n" );
document.write( "Put the value of m in (1)<BR>\n" );
document.write( "c=m-25................(1)<BR>\n" );
document.write( "c=50-25<BR>\n" );
document.write( "c=25\r<BR>\n" );
document.write( "\n" );
document.write( "================================================================================<BR>\n" );
document.write( "Cashew=c = 25lb<BR>\n" );
document.write( "Total cost of Cashews=$6c = 6*25= $150<BR>\n" );
document.write( "Peanuts=25 lb<BR>\n" );
document.write( "Total cost of Peanuts=3*25=$75<BR>\n" );
document.write( "Mixture=m lb = 50 lb<BR>\n" );
document.write( "Total cost of mixture = $4.50(50)=$225<BR>\n" );
document.write( "===============================================================================<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "Cashew(lb)+Peanuts(lb)=mixture(lb)<BR>\n" );
document.write( "25+25=50<BR>\n" );
document.write( "50 lb =50 lb\r<BR>\n" );
document.write( "\n" );
document.write( "Total cost of Cashews+Total cost of Peanuts=Total cost of mixture<BR>\n" );
document.write( "6*25+3*25=4.5*50<BR>\n" );
document.write( "150+75=225<BR>\n" );
document.write( "225=225\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );