document.write( "Question 845606: From a basket of mangoes, the King took 1/6, the Queen took 1/5 of the remainder, the three chief Princes to Ľ, 1/3, and ˝ of the successive remainders, respectively. The youngest child took the remaining 3 mangoes. How many mangoes were in the basket originally? \n" ); document.write( "

Algebra.Com's Answer #509446 by KMST(5328) $\"\"$ $\"About$

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$\"%285%2F6%29%2A%284%2F5%29%2A%283%2F4%29%2A%282%2F3%29%2A%281%2F2%29%2Ax=3\"$
\n" ); document.write( " $\"%285%2A4%2A3%2A2%2A1%2F%286%2A5%2A4%2A3%2A2%29%29%2Ax=3\"$
\n" ); document.write( "There is 5, 4, 3, and 2 in numerator and denominator.
\n" ); document.write( "They \"cancel out\" and you get
\n" ); document.write( " $\"%281%2F6%29%2Ax=3\"$ so $\"x=3%2A6\"$ and $\"highlight%28x=18%29\"$ .
\n" ); document.write( "The interesting part is that the king took $\"1%2F6\"$ of $\"18\"$ mangoes,
\n" ); document.write( "which is $\"%281%2F6%29%2A18=3\"$ mangoes,
\n" ); document.write( "and each person after the king took $\"3\"$ mangoes too.
\n" ); document.write( "of the $\"18-3=15\"$ mangoes left, the queen took
\n" ); document.write( " $\"%281%2F5%29%2A15=3\"$ mangoes, leaving
\n" ); document.write( " $\"15-3=12\"$ .
\n" ); document.write( "Then from those $\"12\"$ the first prince took $\"1%2F4\"$ ,
\n" ); document.write( "which was $\"%281%2F4%29%2A12=3\"$ mangoes, and so on.
\n" ); document.write( "Each member of the family calculated his or her share very fairly.
\n" ); document.write( "Each one figured that the remaining mangoes were to be divided among the $\"n\"$ family members that had not yet received a portion, and took the $\"1%2Fn\"$ fair share, so they would all end up with the same amount. \n" ); document.write( "

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