Distributing Pies
Marvin is expecting some visitors today, so he equally divided a pie into some pieces.
Two visitors came and ate
of the pie.
Later, another visitor came and ate
of what has left and two slices remains.
How many slices did Marvin cut?
The answer is 12.
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1 solution
Let the starting be with x pieces. After the first two visitors, x − ( 3 / 4 ) x = x / 4 pieces left. After the third visitor x / 4 − ( 1 / 3 ) × ( x / 4 ) = x / 6 left. And this is equal to 2 . So x / 6 = 2 or x = 1 2 .