document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207197>Question 1207197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "Four friends Aisha Ben Cathy and Daniel shared lunch equally. Aisha paid 3/5 of the total amount Ben and Cathy paid. Cathy paid $10 more than Ben. Daniel repaid $24.00 to Aisha and some money to Ben and Cathy.<BR>\n" );
document.write( "How much did Daniel repay to Ben and Cathy </SPAN>\n" );
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document.write( "Let x be the amount Ben paid.<BR>\n" );
document.write( "Then x+10 is the amount Cathy paid.<br><BR>\n" );
document.write( "The amount Alisha paid was 3/5 of the total that Ben and Cathy paid:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%28x%2Bx%2B10%29+=+%286%2F5%29x%2B6 ALIGN=MIDDLE  ALT=\"%283%2F5%29%28x%2Bx%2B10%29+=+%286%2F5%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the total amount spent was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+x%2B10+%2B+%286%2F5%29x%2B6+=+%2816%2F5%29x%2B16 ALIGN=MIDDLE  ALT=\"x+%2B+x%2B10+%2B+%286%2F5%29x%2B6+=+%2816%2F5%29x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Daniel repaid $24 to Alisha, so Alisha's equal share was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F5%29x%2B6+-+24+=+%286%2F5%29x-18 ALIGN=MIDDLE  ALT=\"%286%2F5%29x%2B6+-+24+=+%286%2F5%29x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since Alsiha's share was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F5%29x-18 ALIGN=MIDDLE  ALT=\"%2816%2F5%29x-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the total spent was<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28%286%2F5%29x-18%29+=+%2824%2F5%29x-72 ALIGN=MIDDLE  ALT=\"4%28%286%2F5%29x-18%29+=+%2824%2F5%29x-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The two expressions for the total amount spent must be equal:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F5%29x%2B16=%2824%2F5%29x-72 ALIGN=MIDDLE  ALT=\"%2816%2F5%29x%2B16=%2824%2F5%29x-72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88=%288%2F5%29x ALIGN=MIDDLE  ALT=\"88=%288%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=55 ALIGN=MIDDLE  ALT=\"x=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Results so far....<BR>\n" );
document.write( "Ben spent x = $55<BR>\n" );
document.write( "Cathy spent x+10 = $65<BR>\n" );
document.write( "Alisha spent (6/5)x+6 = $66+$6 = $72<BR>\n" );
document.write( "The total amount spent was $55+$65+$72 = $192<br><BR>\n" );
document.write( "The equal shares were $192/4 = $48<br><BR>\n" );
document.write( "Daniel repaid $24 to Alisha, making Alisha's share correct: $72-$24 = $48<br><BR>\n" );
document.write( "Since the equal shares were $48 each, and since Daniel repaid $24 to Alisha, the amount he repaid to Ben and Cathy was $48-$24 = $24.<br><BR>\n" );
document.write( "ANSWER: Daniel repaid $24 to Ben and Cathy<br><BR>\n" );
document.write( "It's not clear from the wording of the question whether we need to know how much Ben got from Daniel and how much Cathy got.  If that was the intent of the question, then we only need to divide the $24 Daniel repaid to Ben and Cathy into two parts with Cathy's part being $10 more than Ben's.  That leads to<br><BR>\n" );
document.write( "ALTERNATIVE ANSWER: Daniel repaid $17 to Cathy and $7 to Ben<br><BR>\n" );
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