document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159980>Question 159980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. To determine the number of deer in a game preserve, a conservationist catches 484 deer, tags them and lets them loose. Later, 618 deer are caught; 206 of them are tagged. How many deer are in the preserve?\r<BR>\n" );
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document.write( "2. Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together?\r<BR>\n" );
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document.write( "3. Benz bicycles 7 km/h faster than praedup. In the same time it takes praedup to bicycle 48 km, Benz can bicycle 69 km. how fast does each bicyclist travel?\r<BR>\n" );
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document.write( "Praedup travels what km/h?\r<BR>\n" );
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document.write( "Benz travels what km/h?\r<BR>\n" );
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document.write( "4. Find the LCM of 5(r-7) and 35(r-7)<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 #117940 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=117940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To determine the number of deer in a game preserve, a conservationist catches 484 deer, tags them and lets them loose. Later, 618 deer are caught; 206 of them are tagged. How many deer are in the preserve?<BR>\n" );
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document.write( "Total population/caught : x/484<BR>\n" );
document.write( "Total Tagged population/tagged caught: 618/206<BR>\n" );
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document.write( "Proportion Equation:<BR>\n" );
document.write( "x/484 = 618/206<BR>\n" );
document.write( "x = 1452 (estimate of size of total population) <BR>\n" );
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document.write( "2. Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together? <BR>\n" );
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document.write( "Jack rate + Marilyn rate = together rate<BR>\n" );
document.write( "1/6 + 1/7 = 1/x<BR>\n" );
document.write( "(13/42) = 1/x<BR>\n" );
document.write( "13x = 42<BR>\n" );
document.write( "x = 42/13 = 3.23 hours to do the job together<BR>\n" );
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document.write( "3. Benz bicycles 7 km/h faster than praedup.\r<BR>\n" );
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document.write( " In the same time it takes praedup to bicycle 48 km, Benz can bicycle 69 km. how fast does each bicyclist travel?<BR>\n" );
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document.write( "Benz DATA :<BR>\n" );
document.write( "distance = 69 km ; rate = x+7 kph ; time = d/r = 69/(x+7)<BR>\n" );
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document.write( "Praedup DATA:<BR>\n" );
document.write( "distance = 48 km ; rate = x kph ; time = d/r = 48/x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "time = time<BR>\n" );
document.write( "69/(x+7) = 48/x<BR>\n" );
document.write( "69x = 48x + 7*48<BR>\n" );
document.write( "21x = 7*48<BR>\n" );
document.write( "x = 16 km/h (Praedup speed)<BR>\n" );
document.write( "x+7 = 23 km/h (Benz speed)<BR>\n" );
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document.write( "4. Find the LCM of 5(r-7) and 35(r-7)<BR>\n" );
document.write( "LCM = 35*(r-7)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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