document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126672>Question 1126672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tennis coaches High Lob and Low Smash decided to share with their assistants (Love and Vantage) the money they earned from tennis lessons. They agreed on the following ratios: Lob : Love = 17 : 12, Love : Smash = 3: 4, and Smash : Vantage = 32 :15. If their earnings totalled $3,150, how much did Love receive? </SPAN>\n" );
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document.write( "For me, the easiest way to solve a problem like this involving multiple ratios is to find ratios equivalent to the given ratios in such a way that the numbers for the same people are the same.<br><BR>\n" );
document.write( "We have<BR>\n" );
document.write( "Lob:Love = 17:12  and  Love:Smash = 3:4<br><BR>\n" );
document.write( "Change the second ratio to an equivalent ratio where Love's number is the same as in the first ratio.  Then we have<BR>\n" );
document.write( "Lob:Love = 17:12  and  Love:Smash = 12:16<BR>\n" );
document.write( "which gives us Lob:Love:Smash = 17:12:16<br><BR>\n" );
document.write( "Now look at Smash:Vantage = 32:15.  In the first ratio, Smash's number is 16, which is half of 32.  So change the first ratio to an equivalent ratio in which Smash's number is 32.<BR>\n" );
document.write( "Lob:Love:Smash = 34:24:32  and  Smash:Vantage = 32:15<BR>\n" );
document.write( "which gives us  Lob:Love:Smash:Vantage = 34:24:32:15.<br><BR>\n" );
document.write( "With all four people now in a single ratio, we can solve the problem.<br><BR>\n" );
document.write( "Lob's share = 34x<BR>\n" );
document.write( "Loves' share = 24x<BR>\n" );
document.write( "Smash's share = 32x<BR>\n" );
document.write( "Vantage's share = 15x<br><BR>\n" );
document.write( "The total earnings were $3150:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34x%2B24x%2B32x%2B15x+=+3150 ALIGN=MIDDLE  ALT=\"34x%2B24x%2B32x%2B15x+=+3150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105x+=+3150 ALIGN=MIDDLE  ALT=\"105x+=+3150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+30 ALIGN=MIDDLE  ALT=\"x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Love's share is 24x = 24*$30 = $720. </SPAN>\n" );
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