document.write( "Question 1183541: The Knave of Hearts stole some tarts. He ate half of them, and half a tart more.
\n" ); document.write( "The Knave of Diamonds ate half of what was left, and half a tart more.
\n" ); document.write( "Then the Knave of Clubs ate half of what remained, and half a tart more.
\n" ); document.write( "This left just one tart for the Knave of Spades.
\n" ); document.write( "How many tarts did the Knave of Hearts steal? \n" ); document.write( "

Algebra.Com's Answer #813932 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "The Knave of Hearts stole some tarts. He ate half of them, and half a tart more.
\n" ); document.write( "The Knave of Diamonds ate half of what was left, and half a tart more.
\n" ); document.write( "Then the Knave of Clubs ate half of what remained, and half a tart more.
\n" ); document.write( "This left just one tart for the Knave of Spades.
\n" ); document.write( "How many tarts did the Knave of Hearts steal?
\n" ); document.write( "

Let original number of tarts be T
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document.write( "1st time around: Ate  of the tarts, and  more gives us a remainder of: 
\n" );
document.write( "2nd time around: Ate  of REMAINING tarts, plus  more gives us a remainder of: 
\n" );
document.write( "3rd time around: Ate  of REMAINING tarts, plus  more gives us a remainder of: 
\n" );
document.write( "After 3rd time around, 1 tart remained. so we get: 
\n" );
document.write( "T - 7 = 8 ----- Multiplying by LCD, 8
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document.write( "Original number of tarts, or  \n" );
document.write( "

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