document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095409>Question 1095409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hannah's cash box contains $160. made up of quarters($0.25), loonies($1), and toonies($2). How many quarters, loonies and toonies are in the box if the number of loonies is four more than three-sevenths the number of toonies, and the number of quarters is eight times the number of loonies and toonies together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709929 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=709929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>With the given information that the number of loonies is 4 more than 3/7 the number of toonies, I would start my algebraic solution with...<BR>\n" );
document.write( "let 7x = number of toonies<BR>\n" );
document.write( "then 3x+4 = number of loonies<br><BR>\n" );
document.write( "Of course you could define your variables differently and work with fractions; but I prefer to make my work easier by avoiding fractions if possible.<br><BR>\n" );
document.write( "With that start, we know the number of quarters is 8 times the number of loonies and toonies together:<BR>\n" );
document.write( "8(10x+4) = 80x+32 = number of quarters<br><BR>\n" );
document.write( "Now we have all the numbers in terms of a single variable.  So write and solve the equation that says the total value of the coins is $160:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%287x%29%2B1%283x%2B4%29%2B.25%2880x%2B32%29+=+160 ALIGN=MIDDLE  ALT=\"2%287x%29%2B1%283x%2B4%29%2B.25%2880x%2B32%29+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x%2B3x%2B4%2B20x%2B8+=+160 ALIGN=MIDDLE  ALT=\"14x%2B3x%2B4%2B20x%2B8+=+160\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37x+=+148 ALIGN=MIDDLE  ALT=\"37x+=+148\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "number of toonies: 7x = 28<BR>\n" );
document.write( "number of loonies: 3x+4 = 16<BR>\n" );
document.write( "number of quarters: 80x+32 = 352 </SPAN>\n" );
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