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, he was hungry and ate another 1/2. 3 mangoes were left for the servants. How many mangoes were in the bowl before the king, queen, and prince ate mangoes?

I need help solving this. Explain. Thank you! (;

  1. 👍
  2. 👎
  3. 👁
  1. let the number of original mangoes be x
    King ate 1/6, so (5/6)x are left
    Queen ate 1/5 of that so (4/5)(5/6)x are left
    prince ate 1/4 of that so (3/4)(4/5)(5/6)x are left
    prince then ate 1/3 of that leaving (2/3)(3/4)(4/5)(5/6)x
    prince then ate 1/2 of that, leaving

    this cancels very nicely to (1/6)x

    but we know (1/6)x = 3
    so x = 18

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. social studies

    Which does the European Council do in the government of the European Union? A.passes laws and adopts budgets B.resolves disputes among members C.ensures legislation is applied fairly D.represents the EU globally A recent challenge


    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,

  3. algebra/Can you see if I am right

    A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. A face card is a jack, queen, or king. P(face card|king) 4/52 Thank you

  4. math

    In a fruit basket 1/4 of the fruits are bananas and 3/8 are mangoes.Which are more the bananas or the mangoes? Solution

  1. mathematics

    Suppose you conduct an experiment in which you draw a single card from a standard deck of 52 cards. Which events are mutually exclusive? Select all that apply. choosing a card that is an ace and a four choosing a card that is a

  2. Statistics

    What is the probability of drawing an ace and a 10, Jack, Queen, or King from a deck of cards?

  3. statistics

    Six cards-ace, king, queen of hearts; ace, king of diamonds; and king of clubs-are all placed face down a table. One card is to be selected at random. Find the probability: a) of an ace, given that a diamond was turned b) of an

  4. Math

    Three sisters shared some mangoes in the ratio of 5:3:2.if one with the smallest ratio received 25 mangoes, find the number of mangoes shared?

  1. Math

    A single card is drawn from a standard deck of cards. Find the following probabilities. A face card is a jack, queen, or king. P(face card | queen) ________ P(king | face card ________

  2. Calculus

    Consider a hemispherical bowl with a radius of 12 cm. The bowl contains water to a depth of 9 cm. The density of the water at any point x cm below the surface of the water is given by 2e^(0.15x) g/cm^3. A. Find the volume of the

  3. math

    Two cards are drawn without replacement from a standard deck of 52 cards. Find the probability a) both cards are red ,b) both cards are the same color, c) the second card is a king given that the first card is a queen, d) the

  4. algebra 2

    A soup bowl has a cross section with a parabolic shape, as shown in the figure. The bowl has a diameter of 8 inches and is 2.5 inches deep. b. Based off your diagram, write an equation of a parabola that models the bowl. c. How

You can view more similar questions or ask a new question.