document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210620>Question 1210620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fill in the blanks to make a true statement.\r<BR>\n" );
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document.write( "If we increase a by 10%, then we obtain b.  If we increase b by 10%, then we obtain c.  Overall, we can obtain c by increasing a by ___ %. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854435 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</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=854435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A general discussion....<br><BR>\n" );
document.write( "If a number x is increased by 13%, then the new number is x plus 13% of x, or<br><BR>\n" );
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document.write( "In most problems, percent increases (and percent decreases) are more easily thought of using multiplication instead of addition or subtraction.  So instead of adding 13%, we multiply by 1.13.<br><BR>\n" );
document.write( "This use of multiplication instead of addition or subtraction has HUGE advantages if the problem involves multiple successive percent increases and/or percent decreases.<br><BR>\n" );
document.write( "Similarly, if we know that a number is 1.13 times its previous value, then we know the old number was increased by 13%.<br><BR>\n" );
document.write( "In this problem, we have two consecutive increases of 10%.  That means multiplying the original number by 1.10 (or just 1.1) and then multiplying it by 1.1 again.  So<br><BR>\n" );
document.write( "b = 1.1(a)<BR>\n" );
document.write( "c = 1.1(b) = (1.1)(1.1)(a) = 1.21(a)<br><BR>\n" );
document.write( "And from this we see that the overall increase is 21%.<br><BR>\n" );
document.write( "ANSWER: 21%<br><BR>\n" );
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