document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69765>Question 69765</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321127137/algebrahomeworkh>Intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1. Ellen wishes to mix candy worth $2.17 per pound with candy worth $3.55 per pound to form 24 pounds of a mixture worth $3.09 per pound. How many pounds of the more expensive candy should she use?\r<BR>\n" );
document.write( "\n" );
document.write( "2. A cruise boat travels 84 miles downsteam in 3 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream.\r<BR>\n" );
document.write( "\n" );
document.write( "I can't figure out the equations for either one of these word problems!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49728 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=49728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Ellen wishes to mix candy worth $2.17 per pound with candy worth $3.55 per pound to form 24 pounds of a mixture worth $3.09 per pound. How many pounds of the more expensive candy should she use?\r<BR>\n" );
document.write( "\n" );
document.write( "Let amt. of 2.17 candy be \"x\" lbs. ;Value of this is 217x cents<BR>\n" );
document.write( "Amt of 3.55 candy is \"24-x\" lbs. Value is 355(24-x)= 8520-355x cents<BR>\n" );
document.write( "Amt of mixture is 24 lbs; Value is 309(24)=7416 cents<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "value + value = 7416 cents<BR>\n" );
document.write( "217x + 8520-355x = 7416<BR>\n" );
document.write( "-138x=-1104<BR>\n" );
document.write( "x=8 lbs (amt of $2.17 candy in the mixture)<BR>\n" );
document.write( "24-x= 16 lbs (amt of $3.55 candy in the mixture)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "=========================\r<BR>\n" );
document.write( "\n" );
document.write( "2. A cruise boat travels 84 miles downsteam in 3 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream.<BR>\n" );
document.write( "Downstream DATA:<BR>\n" );
document.write( "distance = 84 miles; time = 3 hrs; rate= d/t=84/3 = 28 mph<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Upstream DATA:<BR>\n" );
document.write( "distance = 84 miles ; time 6 hrs; rate = d/t = 84/6 = 14 mph<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "boat speed + stream = 28 mph<BR>\n" );
document.write( "boat speed - stream = 14 mph<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Add the two equations to get:<BR>\n" );
document.write( "2b=42<BR>\n" );
document.write( "b=21<BR>\n" );
document.write( "Then 21 + stream speed = 28 mph<BR>\n" );
document.write( "stream speed = 7 mph<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );