document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757654>Question 757654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy counts toads at 22/min and then frogs at 18/min.  He counts for a total of 4 mins and realizes that he has counted an equal number of toads and frogs.  How long did he count toads?\r<BR>\n" );
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document.write( "I know he counted frogs longer because they are slower.  I know he counted toads at 4/min faster.\r<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 #460983 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=460983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That's an interesting new uniform-rates problem.\r<BR>\n" );
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document.write( "So there were counting reptiles.  Each reptile is counted at a different rate. r*t=q using r for rate in reptile per minute, t is time in minutes, q is the count of reptiles whether frog or toad.  \r<BR>\n" );
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document.write( "Which Reptile_______________rate______________time_____________count<BR>\n" );
document.write( "TOADS_______________________22________________(___)____________q<BR>\n" );
document.write( "FROGS_______________________18________________(___)____________q\r<BR>\n" );
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document.write( "We only know that q is the same for both kinds.  We know the total time counting was 4 minutes but not yet how much time for each kind of reptile.  We can make expressions for each.\r<BR>\n" );
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document.write( "Which Reptile_______________rate______________time_____________count<BR>\n" );
document.write( "TOADS_______________________22________________(q/22)____________q<BR>\n" );
document.write( "FROGS_______________________18________________(q/18)____________q<BR>\n" );
document.write( "Total_________________________________________4_________________2q\r<BR>\n" );
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document.write( "We use the found equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q%2F22%2Bq%2F18=4%29 ALIGN=MIDDLE  ALT=\"highlight%28q%2F22%2Bq%2F18=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for q.  You can easily compute the time for the counting of each reptile, just using the time expression as shown.  Remember, q is for the number of each reptile counted.<BR>\n" );
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