MATH HELP PLEASE

posted by .

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 -

    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 -

    tu madre! yeeeee

  • MATH HELP PLEASE -

    bob

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Mathematics

    Neeka gave one fifth of her mangoes to her brother, she sold five eighths of the remainder, she was left with 12 mangoes. How many mangoes did she have in the first place?
  2. math

    Here it is: One night the palace was having a midnight snack. The king ate 1/6 of the mangoes. The Queen ate 1/5 of the remaining mangoes. The 1st prince ate 1/4 of the mangoes left. Then the 2nd prince ate 1/3 of the remaining mangoes. …
  3. Math

    A king couldn't sleep so, he devoured 1/6 of a bowl of mangoes. Later, the queen got hungry and took 1/5 of the bowl of mangoes. The prince awoke and ate 1/4 of the bowl of mangoes. After, he came back and ate another 1/3. Obviously, …
  4. Maths

    In a basket of 24 mangoes 1/3 were yellow 5/8 were green and the rest were orange. 1. what fraction of the mangoes were green and ripe?
  5. Maths

    In a basket of 24 mangoes 1/3 were yellow 5/8 were green and the rest were orange. 1. what fraction of the mangoes were green and ripe?
  6. English

    1. Anybody does not sleep well during the night. 2. Not anybody sleeps well during the night. 3, Nobody sleeps well during the night. (Which ones are correct?
  7. math

    John had mangoes. He ate 5 and shared the remaining among her 6 friends. He however found that he needed 2 more mangoes if each of the friends was to get 4 mangoes. How many mangoes had he at the beginning?
  8. math

    If a, b and c share a bag of mangoes in the ration 7:5:14 and b receives 18 mangoes less than c, how many mangoes does c receive.
  9. mtap

    There were 42 mangoes in each crate. Twelve such crates of mangoes were delivered to a factory. Four mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of10 mangoes each. How many boxes of mangoes …
  10. maths

    There are 450 oranges and mangoes in a fruit stall. There are twice amount of mangoes as there are oranges. a)how many oranges are there in the stall?

More Similar Questions