document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189846>Question 189846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is $5.05<BR>\n" );
document.write( "How many quarters and how many nickels are in the jar? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142449 by </B><A HREF=/tutors/aboutme.mpl?userid=greta_elisif><B>greta_elisif(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greta_elisif><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=greta_elisif><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jar contains quarters and nickels. There are 25 coins in the jar, and the total value of the coins is $5.05<BR>\n" );
document.write( "How many quarters and how many nickels are in the jar?\r<BR>\n" );
document.write( "\n" );
document.write( "1. Define the variables:<BR>\n" );
document.write( "q = number of quarters<BR>\n" );
document.write( "n = number of nickels<BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "3. Define two more values:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25q ALIGN=MIDDLE  ALT=\".25q\"   DISABLED_style= \"max-width:90%; height:auto;\" > = value of the quarters, in dollars<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05n ALIGN=MIDDLE  ALT=\".05n\"   DISABLED_style= \"max-width:90%; height:auto;\" > = value of the nickels, in dollars<BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "3. Since the number of quarters plus the number of nickels equals 25, set up this equation to solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+%2B+n+=+25 ALIGN=MIDDLE  ALT=\"q+%2B+n+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "4. Solve for one variable by subtracting the other from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+%2B+n+-+n+=+25+-+n ALIGN=MIDDLE  ALT=\"q+%2B+n+-+n+=+25+-+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+25+-+n ALIGN=MIDDLE  ALT=\"q+=+25+-+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "5. Since the value of the quarters plus the value of the nickels equals $5.05, set up this equation next:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25q+%2B+.05n+=+5.05 ALIGN=MIDDLE  ALT=\".25q+%2B+.05n+=+5.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "6. Replace q with what it equals:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2825+-+n%29+%2B+.05n+=+5.05 ALIGN=MIDDLE  ALT=\".25%2825+-+n%29+%2B+.05n+=+5.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "7. Distribute .25:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25+-+.25n+%2B+.05n+=+5.05 ALIGN=MIDDLE  ALT=\"6.25+-+.25n+%2B+.05n+=+5.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "8. Simplify the variable terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25+-+.2n+=+5.05 ALIGN=MIDDLE  ALT=\"6.25+-+.2n+=+5.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "9. Subtract 6.25 from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25+-+.2n+-+6.25+=+5.05+-+6.25 ALIGN=MIDDLE  ALT=\"6.25+-+.2n+-+6.25+=+5.05+-+6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.2n+=+-1.2 ALIGN=MIDDLE  ALT=\"-.2n+=+-1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "10. Divide both sides by -.2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-.2n%29%2F-.2+=+%28-1.2%29%2F-.2 ALIGN=MIDDLE  ALT=\"%28-.2n%29%2F-.2+=+%28-1.2%29%2F-.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+6 ALIGN=MIDDLE  ALT=\"n+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "11. With n found, q can be found by replacing it in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+25+-+n ALIGN=MIDDLE  ALT=\"q+=+25+-+n\"   DISABLED_style= \"max-width:90%; height:auto;\" > with what it equals:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+25+-+6 ALIGN=MIDDLE  ALT=\"q+=+25+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "12. Subtract and get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+19 ALIGN=MIDDLE  ALT=\"q+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "13. Combine the answers with the definitions of the variables to write the answer:<BR>\n" );
document.write( "&#8220;There are 19 quarters and 6 nickels in the jar.&#8221;<BR>\n" );
document.write( "&#10087;<BR>\n" );
document.write( "14. To check:<BR>\n" );
document.write( "Add 19 and 6, getting 25.<BR>\n" );
document.write( "and<BR>\n" );
document.write( "Multiply the value of a quarter times 19, getting $4.75, and the value of a nickel times 6, getting $.30, and add the amounts of money, getting $5.05. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );