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 ¼, 1/3, and ½ of the successive remainders, respectively.
 The youngest child took the remaining 3 mangoes.
 How many mangoes were in the basket originally?
:
let x = original number of mangoes
Write an equation using the fractions representing the remaining amts after each operation
{{{5/6}}} * {{{4/5}}} * {{{3/4}}} * {{{2/3}}} * {{{1/2}}}x = 3
{{{120/720}}}x = 3
reduce fraction
{{{1/6}}}x = 3
multiply both sides by 6
x = 18 mangoes originally