Question

four monkeys, ann, bob, carl, don set off to gather bananas. after collecting their bananas, they felt tired and fell asleep. ann woke up first and ate 1/3 of the bananas. bob woke up next and ate 1/3 of the remaining bananas. then carl woke up and ate 1/3 of the remaining bananas. lastly, don woke up and took 1/4 of the remaining bananas. he left behind 12 bananas for his 3 other friends. How many bananas did the monkeys gather in all.. please answer.

Answer 1

X Bananas
Ann ate X/3
Re = X - X/3 = 2X/3.

Bob ate 1/3 * 2X/3 = 2X/9
Re = 2X/3 - 2X/9 = 4X/9.

Carl ate 1/3 * 4X/9 = 4X/27
Re = 4X/9 - 4X/27 = 8X/27

Don ate 1/4 * 8X/27 = 8X/108 = 2X/27
Re = 8X/27 - 2X/27 = 6X/27 = 2X/9.

2X/9 = 12
2X = 108
X = 54 Bananas.