Posted by ** PLEASE HELP** on Wednesday, September 21, 2011 at 8:11pm.

One night the King couldn't sleep, so he went down into the Royal kitchen, where he found a bowl full of

mangoes. Being hungry, he took 1/6 of the mangoes.

Later that same night, the Queen was hungry and couldn't sleep. She, too, found the mangoes and took 1/5

of what the King had left.

Still later, the first Prince awoke, went to the kitchen, and ate 1/4 of the remaining mangoes.

Even later, his brother, the second Prince, ate 1/3 of what was then left.

Finally, the third Prince ate 1/2 of what was left, leaving only three mangoes for the servants.

How many mangoes were originally in the bowl?

- MATH HELP PLEASE -
**Reiny**, Wednesday, September 21, 2011 at 8:18pm
original number of mangoes = x

after king: amount left = 5x/6

after queen amount left : (4/5)(5x/6) = (2/3)x

after prince, amount left = (3/4)((2/3)x = (1/2)x

after 2nd prince, amount left = (2/3(1/2)x = (1/3)x

after 3rd prince, amount left = (1/2)(1/3)x = (1/6)x

(1/6)x = 3

x = 18

check:

king ate 1/6 or 3 leaving 15

queen ate 1/5 or 3 leaving 12

1st prince ate 1/4 or 3 leaving 9

2nd prince ate 1/3 or 3 leaving 6

3rd prince ate 1/2 or 3 leaving 3 for servants.

All is good!

- MATH HELP PLEASE -
**Chinga**, Monday, November 5, 2012 at 6:59pm
tu madre! yeeeee

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