document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128491>Question 1128491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Isabelle paid for her $1.75 lunch with 87 coins. If all the coins were nickels and pennies , how many were there of each type of coin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744954 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=744954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Algebraically....<br><BR>\n" );
document.write( "let n = number of nickels<BR>\n" );
document.write( "then (87-n) = number of pennies<br><BR>\n" );
document.write( "The total value of the coins (5 cents for each nickel and 1 cent for each penny) was $1.75 = 175 cents.  Write and solve the equation that says that:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28n%29%2B1%2887-n%29+=+175 ALIGN=MIDDLE  ALT=\"5%28n%29%2B1%2887-n%29+=+175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can finish the formal solution.<br><BR>\n" );
document.write( "Informally, using logical reasoning....<br><BR>\n" );
document.write( "(1) If all 87 coins were pennies, that would be only 87 cents; the actual total of 175 cents is 175-87 = 88 cents more than that.<BR>\n" );
document.write( "(2) Exchanging a penny for a nickel keeps the same total of 87 coins but increases the total value by 4 cents.<BR>\n" );
document.write( "(3) To make up those other 88 cents, the number of nickels needed is 88/4 = 22.<br><BR>\n" );
document.write( "ANSWER: She used 22 nickels and 87-22 = 65 dimes.<br><BR>\n" );
document.write( "CHECK: 22(5)+65(1) = 110+65 = 175 </SPAN>\n" );
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