document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202336>Question 1202336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom, Alice, Helen and Sally had $430 altogether. Alice and Helen had the same amount of money. Alice had 2/3 of the amount Tom had left after he had spent $86. Sally was given $16 and she had as much as Alice. How much money did Sally have at first? </SPAN>\n" );
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document.write( "Answer: <font color=red size=4>$64</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "H = Helen's amount<BR>\n" );
document.write( "A = Alice's amount<BR>\n" );
document.write( "T = Tom's amount<BR>\n" );
document.write( "S = Sally's amount\r<BR>\n" );
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document.write( "Let's list what info we're given<BR>\n" );
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document.write( "<tr><TD >Fact 1</TD><TD >Tom, Alice, Helen and Sally had $430 altogether. </TD></tr><tr><TD >Fact 2</TD><TD >Alice and Helen had the same amount of money. </TD></tr><tr><TD >Fact 3</TD><TD >Alice had 2/3 of the amount Tom had left after he had spent $86. </TD></tr><tr><TD >Fact 4</TD><TD >Sally was given $16 and she had as much as Alice. </TD></tr>\n" );
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document.write( "Those facts lead to these four equations<BR>\n" );
document.write( "H+A+T+S = 430  due to fact 1<BR>\n" );
document.write( "A = H because of fact 2<BR>\n" );
document.write( "A = (2/3)*(T-86) because of fact 3<BR>\n" );
document.write( "S+16 = A because of fact 4\r<BR>\n" );
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document.write( "I'll label those equation (1) through equation (4).\r<BR>\n" );
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document.write( "Solve equation (3) for T<BR>\n" );
document.write( "A = (2/3)*(T-86)<BR>\n" );
document.write( "3A = 2(T-86)<BR>\n" );
document.write( "3A = 2T-172<BR>\n" );
document.write( "3A+172 = 2T<BR>\n" );
document.write( "2T = 3A+172<BR>\n" );
document.write( "T = (3A+172)/2<BR>\n" );
document.write( "T = 1.5A+86\r<BR>\n" );
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document.write( "Then we'll plug in A = S+16<BR>\n" );
document.write( "T = 1.5A+86<BR>\n" );
document.write( "T = 1.5(S+16)+86<BR>\n" );
document.write( "T = 1.5S+24+86<BR>\n" );
document.write( "T = 1.5S+110\r<BR>\n" );
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document.write( "Let's move to equation (1)<BR>\n" );
document.write( "H+A+T+S = 430 <BR>\n" );
document.write( "A+A+T+S = 430  ... plug in A = H<BR>\n" );
document.write( "2A+T+S = 430 <BR>\n" );
document.write( "2(S+16)+T+S = 430 ... plug in A = S+16<BR>\n" );
document.write( "2S+32+T+S = 430 <BR>\n" );
document.write( "3S+32+T = 430 <BR>\n" );
document.write( "3S+32+1.5S+110 = 430 ... plug in T = 1.5s+110 <BR>\n" );
document.write( "4.5S+142 = 430 <BR>\n" );
document.write( "4.5S = 430-142 <BR>\n" );
document.write( "4.5S = 288 <BR>\n" );
document.write( "S = 288/4.5 <BR>\n" );
document.write( "S = <font color=red>64</font><BR>\n" );
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