Question

What is the greatest number of children that can attend Judy's party for her young sister, ensuring each child receives an equal number of prizes and an equal number of balloons?

a) 2
b) 3
c) 4
d) 6

Answer 1

The greatest number of children that can attend Judy's party while ensuring each child receives an equal number of prizes and balloons is 6.

Step-by-step explanation:

To find the greatest number of children that can attend Judy's party while ensuring each child receives an equal number of prizes and balloons, we need to find the greatest common divisor (GCD) of the number of prizes and balloons. Let's consider each option:

1. If 2 children attend, they can each receive 1 prize and 1 balloon.
2. If 3 children attend, they can each receive 1 prize and 1 balloon.
3. If 4 children attend, they can each receive 1 prize and 1 balloon.
4. If 6 children attend, they can each receive 2 prizes (6 divided by 3) and 2 balloons (6 divided by 3).

Therefore, the greatest number of children that can attend Judy's party while ensuring each child receives an equal number of prizes and balloons is 6. So, the answer is d) 6.