document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169323>Question 169323</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem. A machine can fill 3864 cartons of milk in 0.4 hour. How many cartons of milk can it fill per hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124825 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=124825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the answer is 3864/.4 = 9660 <BR>\n" );
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document.write( "you answer the question.<BR>\n" );
document.write( "x * .4 = 1<BR>\n" );
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document.write( "this means what do you need to multiply .4 by in order to make it equal to 1.<BR>\n" );
document.write( "you divide both sides of the equation by .4 to get<BR>\n" );
document.write( "x = 1/.4 = 2.5<BR>\n" );
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document.write( "this means you have to multiply .4 by 2.5 in order to make it equal to 1.<BR>\n" );
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document.write( "if you can make 3864 cartons in .4 hours, then you can make 2.5 times that much in 1 hour which equals 9660.<BR>\n" );
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document.write( "another way of looking at it is:<BR>\n" );
document.write( "you make 3864 in .4 hours.<BR>\n" );
document.write( "this translates to 60*.4 = 24 minutes.<BR>\n" );
document.write( "if you can make 3864 in 24 minutes, then you can make 3864/24 in 1 minute since 1 minute is 1/24 times 24 minutes.<BR>\n" );
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document.write( "3864/24 = 161 cartons per minute.<BR>\n" );
document.write( "multiply that by 60 and you get 9660 cartons in 60 minutes.<BR>\n" );
document.write( "since 60 minutes equals 1 hour, you get 9660 cartons in 1 hour.<BR>\n" );
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document.write( "$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$<BR>\n" );
document.write( "the basic formula is that the rate per unit time is the number of units produced divided by the time it takes to produce them.<BR>\n" );
document.write( "that means 3864/.4 = 9660 units per hour, since the .4 was in hours.<BR>\n" );
document.write( "$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$<BR>\n" );
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document.write( "what you are really doing is dividing 3864 by 1 and then multiplying that by 1 divided by .4 which is the equation for determining how many times you have to multiply .4 hours to get 1 hour.<BR>\n" );
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document.write( "long winded answer but i was playing with how to derive number of units per hour from number of units per time other than 1 hour.<BR>\n" );
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document.write( "it's a simple process of dividing the number of units by the amount of time it takes to make them.<BR>\n" );
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document.write( "alternate example:<BR>\n" );
document.write( "3864 units in 4 hours.<BR>\n" );
document.write( "how many per hour?<BR>\n" );
document.write( "it's 3864 / 4 = 966.<BR>\n" );
document.write( "how come?<BR>\n" );
document.write( "what do you have to multiply 4 hours to get 1 hour?<BR>\n" );
document.write( "equation is:<BR>\n" );
document.write( "x * 4 = 1<BR>\n" );
document.write( "x = 1/4 = .25<BR>\n" );
document.write( "answer is .25<BR>\n" );
document.write( "if you can make 3864 in 4 hours, then you can make .25 times as much in 1 hour = 966.<BR>\n" );
document.write( "same idea.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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