document.write( "Question 1202336: 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? \n" ); document.write( "

Algebra.Com's Answer #837209 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "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?\r\n" );
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document.write( "Let amount Sally had, be S    \r\n" );
document.write( "Then Alice had: S + 16     \r\n" );
document.write( "Since Helen and Alice had the same amount, then Helen’s was also S + 16\r\n" );
document.write( "Since total amount was $430, Tom then had: 430 - (S + S + 16 + S + 16) = 430 - (3S + 32) = 430 - 3S - 32 = 398 - 3S \r\n" );
document.write( "After spending $86, Tom then had remaining amount of, 398 - 3S - 86 = 312 - 3S\r\n" );
document.write( "Since Alice had 2/3 of Tom’s, after Tom spent $86, we then get:  \r\n" );
document.write( "                                                                S + 16 = 2(104 - S)\r\n" );
document.write( "                                                                S + 16 = 208 - 2S\r\n" );
document.write( "                                                                S + 2S = 208 - 16\r\n" );
document.write( "                                                                    3S = 192\r\n" );
document.write( "                                       Initial amount Sally had, or

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