How Many Oranges Were Originally Present? - Answer
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HOW MANY ORANGES
WERE ORIGINALLY PRESENT?
- ANSWER
Age group: All
The question was:
"Three friends, Pierce, Quinton and Ronald, went camping. At night, after setting up camp, they went to bed. They had carried with them a box of oranges.
During the night, Pierce woke up and decided to hide his share of oranges and hid a third, then promptly fell asleep again. Quinton woke up shortly thereafter and also decided to hide a third of the remaining oranges and he also went back to sleep. Finally, Ronald woke up and seeing the others were asleep, took a third of what was left. Of course, none of them knew of the other's antics. So, in the morning, they shared the remaining oranges, each receiving sixteen.
How many oranges were in the crate originally?"
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Now coming to the Answer!
Let the total numbers of oranges = x.
Pierce hid one-third of x oranges i.e. remaining = (2/3)*x.
Quinton hid one-third of these 2x/3 oranges i.e. remaining = 2x/3 - ((1/3) * (2/3) x) = (4/9)*x.
Ronald hid one third of the remaining 4x/9 oranges, i.e. remaining = 4x/9 - ((1/3)*(4x/9)) = (8/27)x.
Now, in the morning, each of them ate 16 oranges, i.e. total oranges left in the morning were 16*3 = 48.
=> 8x/27 = 48
=> x = 162
Therefore, the number of oranges originally in the crate = 162
Wasn't that simple?
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Lavanya
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