document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104694>Question 1104694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pools are being filled with water. To start, the first pool contains <BR>\n" );
document.write( "823<BR>\n" );
document.write( " liters of water and the second pool contains <BR>\n" );
document.write( "1300<BR>\n" );
document.write( " liters of water. Water is being added to the first pool at a rate of <BR>\n" );
document.write( "35.75<BR>\n" );
document.write( " liters per minute. Water is being added to the second pool at a rate of <BR>\n" );
document.write( "22.5<BR>\n" );
document.write( " liters per minute. \r<BR>\n" );
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document.write( "full answer please!!!!!!!!!\r<BR>\n" );
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document.write( "1.after how many minutes will the two pools have the same amount of water?\r<BR>\n" );
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document.write( "2.how much water will be in the pool when they have the same amount? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719389 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=719389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "Let,<BR>\n" );
document.write( "x = number of minutes that have elapsed\r<BR>\n" );
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document.write( "The first pool contains 823 liters of water. Water is being added to the first pool at a trate of 35.75 liters per minute. So after x minutes, the first pool will have a total of 35.75*x+823 liters of water<BR>\n" );
document.write( "The quantity 35.75*x represents the additional amount of water added after those x minutes go by, which is added on top of the 823 liters already there.\r<BR>\n" );
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document.write( "Similarly, the second pool will have a total of 22.5*x+1300 liters since it starts off with 1300 liters and we add on 22.5*x additional liters from the hose.\r<BR>\n" );
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document.write( "If we want to know when the two pools are filled with the same amount of water, we set the expressions equal to each other and solve for x<BR>\n" );
document.write( "Amount of water for pool 1 = Amount of water for pool 2<BR>\n" );
document.write( "35.75*x+823 = 22.5*x+1300<BR>\n" );
document.write( "35.75*x+823-823 = 22.5*x+1300-823<BR>\n" );
document.write( "35.75*x = 22.5*x+477<BR>\n" );
document.write( "35.75*x-22.5*x = 22.5*x+477-22.5*x<BR>\n" );
document.write( "13.25*x = 477<BR>\n" );
document.write( "13.25*x/13.25 = 477/13.25<BR>\n" );
document.write( "x = 36\r<BR>\n" );
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document.write( "After 36 minutes, the two pools will have the same amount of water.\r<BR>\n" );
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document.write( "Plug x = 36 into either expression to get the amount of water<BR>\n" );
document.write( "Amount of water for pool 1 = 35.75*x+823<BR>\n" );
document.write( "Amount of water for pool 1 = 35.75*36+823<BR>\n" );
document.write( "Amount of water for pool 1 = 1287+823<BR>\n" );
document.write( "Amount of water for pool 1 = 2110<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "Amount of water for pool 2 = 22.5*x+1300<BR>\n" );
document.write( "Amount of water for pool 2 = 22.5*36+1300<BR>\n" );
document.write( "Amount of water for pool 2 = 810+1300<BR>\n" );
document.write( "Amount of water for pool 2 = 2110\r<BR>\n" );
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document.write( "Technically you only have to pick one equation, but its good practice to use both to confirm we have the right answer. \r<BR>\n" );
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document.write( "Now to answer the two questions:<BR>\n" );
document.write( "Question 1: <font color=blue>After how many minutes will the two pools have the same amount of water?</font><BR>\n" );
document.write( "Answer 1: <font color=red size=4>36 minutes</font><BR>\n" );
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document.write( "Question 2: <font color=blue>How much water will be in the pool when they have the same amount?</font><BR>\n" );
document.write( "Answer 2: <font color=red size=4>2110 liters</font> (this is the amount for each pool; not the combined from both pools)<BR>\n" );
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