Answer:
60 apples
Step-by-step explanation:
There are some number of apples in the box which is less than 80.
Now, it is given in the condition that all the apples can be divided evenly among 3, 4, and 5 children.
Therefore, the number of apples is a common multiple of 3, 4, and 5 which is less than 80.
Now, multiples of 3 less than 80 are 78, 75, 72, 69, 66, 63, 60, etc.
And, multiples of 4 less than 80 are 76, 72, 68, 64, 60, 56, etc.
Again, multiples of 5 less than 80 are 75, 70, 65, 60, 55, etc.
Therefore, the common multiple less than 80 is 60.
Hence, there were 60 apples in the box. (Answer)