document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023318>Question 1023318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scott is reading a boom that has 172 pages. Melanie is reading a boom that has 3 times as many pages as Scott's book.\r<BR>\n" );
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document.write( "How many pages does Melanie's boom have? <BR>\n" );
document.write( "Select all the equations that represent Ty his problem<BR>\n" );
document.write( "172÷3=?<BR>\n" );
document.write( "3×?=172<BR>\n" );
document.write( "172×3=?÷3=172<BR>\n" );
document.write( "?÷172=3<BR>\n" );
document.write( "172÷?=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638835 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> scott has a boom that is 172 pages in length.<BR>\n" );
document.write( "melanie has a boom that has 3 times this number of pages.\r<BR>\n" );
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document.write( "melanie's boom is therefore 3 * 172 pages in length.\r<BR>\n" );
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document.write( "the question mark represents the number of pages that melanie's boom has.\r<BR>\n" );
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document.write( "your equation is therefore 3 * 172 = ?.\r<BR>\n" );
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document.write( "this is the same as 172 * 3 = ?.\r<BR>\n" );
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document.write( "that's what you're looking for.\r<BR>\n" );
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document.write( "your selections are:\r<BR>\n" );
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document.write( "172÷3=?<BR>\n" );
document.write( "no good because 172 * 3 = ? is what you are looking for.\r<BR>\n" );
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document.write( "3×?=172<BR>\n" );
document.write( "no good for the same reason.\r<BR>\n" );
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document.write( "172×3=?÷3=172<BR>\n" );
document.write( "this might do it.<BR>\n" );
document.write( "172*3 = ? is what you are looking for.<BR>\n" );
document.write( "if you divide both sides of this equation by 3, you will get 172 = ?/3 which is the same as ?/3 = 172.<BR>\n" );
document.write( "if you multiply 172 by 3, you will get a number.<BR>\n" );
document.write( "if you then divide that number by 3, you will get 172.<BR>\n" );
document.write( "this selection is good.\r<BR>\n" );
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document.write( "?÷172=3<BR>\n" );
document.write( "this selection is good for the same reason.<BR>\n" );
document.write( "start with ?/172 = 3.<BR>\n" );
document.write( "multiply both sides of this equation by 172 to get ?/172 * 172 = 3*172.<BR>\n" );
document.write( "simplify to get ? = 3 * 172.<BR>\n" );
document.write( "that's the same as 3 * 172 = ?<BR>\n" );
document.write( "if 172 * 3 = ?, then ?/172 = 3 and ?/3 = 172.\r<BR>\n" );
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document.write( "/ means the same thing as ÷\r<BR>\n" );
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document.write( "172÷?=3 <BR>\n" );
document.write( "no good.<BR>\n" );
document.write( "you want 172 * 3 = ?<BR>\n" );
document.write( "172/? = 3 would result in 172 = 3 * ? which is not the same as 172 * 3 = ?\r<BR>\n" );
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document.write( "your good selections are selections 3 and 4 only.\r<BR>\n" );
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document.write( "let's replace / with a value and you'll see what i mean.\r<BR>\n" );
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document.write( "scott has 172 pages.<BR>\n" );
document.write( "melanie has 3 * as many, so melanie has 516.\r<BR>\n" );
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document.write( "? is equal to 516.\r<BR>\n" );
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document.write( "your selections are, once again.\r<BR>\n" );
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document.write( "172÷3=?<BR>\n" );
document.write( "when ? = 516, this says that 172/3 = 516.<BR>\n" );
document.write( "clearly not true, because 172/3 = 57 and 1/3 which is not equal to 516.\r<BR>\n" );
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document.write( "3×?=172<BR>\n" );
document.write( "when ? = 516, this says that 3*516 = 172.<BR>\n" );
document.write( "clearly not true, because 3*516 = 1548 which is not equal to 172.\r<BR>\n" );
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document.write( "172×3=?÷3=172<BR>\n" );
document.write( "when ? = 516, this says that 172*3 = 516 / 3 = 172.<BR>\n" );
document.write( "this is clearly true, because 172*3 = 516 and 516/3 = 172.\r<BR>\n" );
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document.write( "?÷172=3<BR>\n" );
document.write( "when ? = 516, this says that 516/172 = 3.<BR>\n" );
document.write( "this is clearly true, because 516/172 is equal to 3.\r<BR>\n" );
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document.write( "172÷?=3 <BR>\n" );
document.write( "when ? = 516, this says that 172/516 = 3.<BR>\n" );
document.write( "this is clearly not true because 172/516 = 1/3 which is not equal to 3.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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