document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174345>Question 1174345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Irving, the wishing well diver, has 10% as many quarters as nickels. if Irving has $5.25 in quarters and nickels, how many nickels does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799771 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=799771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "n = number of nickels<BR>\n" );
document.write( "q = number of quarters<BR>\n" );
document.write( "these values are some positive whole number\r<BR>\n" );
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document.write( "He has 10% as many quarters as nickels, meaning that,<BR>\n" );
document.write( "q = 10% of n<BR>\n" );
document.write( "q = (10/100)*n<BR>\n" );
document.write( "q = 0.10n<BR>\n" );
document.write( "This is equivalent to <BR>\n" );
document.write( "10q = n<BR>\n" );
document.write( "after multiplying both sides by 10<BR>\n" );
document.write( "So n = 10q means that whatever number of quarters we have (q), we'll have ten times as many nickels (n).\r<BR>\n" );
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document.write( "For example, if we had 5 quarters, then <BR>\n" );
document.write( "q = 5<BR>\n" );
document.write( "n = 10q<BR>\n" );
document.write( "n = 10*5<BR>\n" );
document.write( "n = 50<BR>\n" );
document.write( "Having 5 quarters leads to 50 nickels.\r<BR>\n" );
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document.write( "Irving has $5.25 in quarters and nickels. This is equivalent to 5.25*100 = 525 cents<BR>\n" );
document.write( "Of that total value, 5n is from the nickels and 25q is from the quarters. So we have 5n+25q total cents which is set equal to 525\r<BR>\n" );
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document.write( "5n+25q = 525<BR>\n" );
document.write( "5(n)+25q = 525<BR>\n" );
document.write( "5(10q)+25q = 525 ... replace n with 10q, since n = 10q<BR>\n" );
document.write( "50q+25q = 525 <BR>\n" );
document.write( "75q = 525 <BR>\n" );
document.write( "q = 525/75 <BR>\n" );
document.write( "q = 7<BR>\n" );
document.write( "There are 7 quarters\r<BR>\n" );
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document.write( "If q = 7, then,<BR>\n" );
document.write( "n = 10q <BR>\n" );
document.write( "n = 10*7 <BR>\n" );
document.write( "n = 70<BR>\n" );
document.write( "There are 70 nickels.\r<BR>\n" );
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document.write( "Let's check the answer<BR>\n" );
document.write( "n = 70 nickels has a value of 5*n = 5*70 = 350 cents <BR>\n" );
document.write( "q = 7 quarters has a value of 25*q = 25*7 = 175 cents <BR>\n" );
document.write( "In total, we have 5n+25q = 350+175 = 525 cents = $5.25<BR>\n" );
document.write( "This verifies the answer. Also note that 7 is 10% of 70 since 0.10*70 = 7.\r<BR>\n" );
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document.write( "Answer: 70 nickels<BR>\n" );
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