document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380322>Question 380322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah has a collection of marbles. She notices that if she borrows 8 marbles from a friend, then she can arrange the marbles in rows of 15 each. What is the remainder when she divides her original number of marbles by 15? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269896 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=269896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sarah has a collection of marbles. She notices that if she borrows 8 marbles from a friend, then she can arrange the marbles in rows of 15 each. What is the remainder when she divides her original number of marbles by 15? \r<BR>\n" );
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document.write( "Let original number of marbles be \"x\":<BR>\n" );
document.write( "x+8 = 15k where k is the number of rows.<BR>\n" );
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document.write( "x = 15k-8<BR>\n" );
document.write( "x = [15(k-1) + 15]-8<BR>\n" );
document.write( "x = [15(k-1)]+7<BR>\n" );
document.write( "x/15 = (15(k-1)+7)/15<BR>\n" );
document.write( "x/15 = (k-1)+(7/15)<BR>\n" );
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document.write( "Quotient = (k-1)<BR>\n" );
document.write( "Remainder = 7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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