Question

The number of candies in the box is between 80 and 100. It is possible to divide all the candies among 2, 3 or 5 children. How many candies are in the box?

Answer 1

Answer:

90

Step-by-step explanation:

The number of candies can be divided among 2, 3, or 5 children so that is the same as saying: the number of candies must be divisible by 2, 3, and 5. In order for a number to be divisible by 5, it must end in 0 or 5 so we know the number of candies must end in 0 or 5. For a number to be divisible by 2, the number must end in an even number. 5 is not an even number so we know the number of candies must end in 0. If a number is divisible by 3, the digits added are divisible by 3. Go through each number(80, 90, 100) and see which one is divisible by 3. 90 is divisible by 2, 3, and 5.

Proof that 90 is divisible by 2, 3, and 5:

90 ÷ 2 = 45

90 ÷ 3 = 30

90 ÷ 5 = 18

The results are all whole numbers.