use polya’s method to answer the problem below. One night, the king could not 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 fruit. later that night, the queen was also 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 left. finally, the third prince ate 1/2 of what was left, leaving

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.2: Applications Of Linear Equations
Problem 62E
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use polya’s method to answer the problem below.

One night, the king could not 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 fruit. later that night, the queen was also 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 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?

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