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? is there more than one solution?
Accepted Solution
A:
if you think in picture, it will be easier 1. king --1/6 of all 2. queen -- 1/5 of what king had left (remaining) 3. 1st prince -- 1/4 of remaining 4. 2nd prince -- 1/3 of remaining 5. 3 rd prince -- 1/2 of remaining 6. there are 3 mangoes left
so if we think that there are 6 parts of all 1. king took 1st part (5 parts left) 2. queen took 1 of what king had left which he left 5 parts (4 parts left) 3. 1st prince took 1 of 4 (3 parts left) 4. 2nd prince took 1 of 3 (2 parts left) 5. 3rd prince took 1 of 2 (1 part left) that means 1 part equals 3 mangoes so we have 6 parts at first then there were 18 mangoes originally in the bowl.