document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162954>Question 162954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of a pile of pennies, dimes, and quarters is $21.92.  The ratio of the number of pennies to dimes is 4 to 7.  The ratio of the number of dimes to quarters is 7 to 8.  How many pennies, dimes, and quarters are in the pile? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120098 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write equations for each statement:<BR>\n" );
document.write( "p = no. of pennies<BR>\n" );
document.write( "d = no. of dimes<BR>\n" );
document.write( "q = no of quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The value of a pile of pennies, dimes, and quarters is $21.92.\"<BR>\n" );
document.write( ".01p + .10d + .25q = 21.92<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" The ratio of the number of pennies to dimes is 4 to 7.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Fd ALIGN=MIDDLE  ALT=\"p%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "7p = 4d<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" The ratio of the number of dimes to quarters is 7 to 8.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fq ALIGN=MIDDLE  ALT=\"d%2Fq\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8 ALIGN=MIDDLE  ALT=\"7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "7q = 8d<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F7 ALIGN=MIDDLE  ALT=\"8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >d<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How many pennies, dimes, and quarters are in the pile?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute for p & q in the total$ equation<BR>\n" );
document.write( ".01*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >d  +  .10d  +  .25*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F7 ALIGN=MIDDLE  ALT=\"8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >q = 21.92<BR>\n" );
document.write( "Multiply equation 7, results:<BR>\n" );
document.write( ".01(4d) + 7(.10d) + .25(8q) = 7(21.92)<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".04d + .70d + 2.00q = 153.44<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.74d = 153.44<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=153.44%2F2.74 ALIGN=MIDDLE  ALT=\"153.44%2F2.74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 56 dimes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*56<BR>\n" );
document.write( "p = 32 pennies<BR>\n" );
document.write( "and<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F7 ALIGN=MIDDLE  ALT=\"8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*56<BR>\n" );
document.write( "q = 64 quarters<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution:<BR>\n" );
document.write( ".01(32) + .10(56) + .25(64) = <BR>\n" );
document.write( ".32 + 5.60 + 16.00 = 21.92; confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );