157k views
5 votes
Genevieve is planning a party for her younger sister. She has 36 prizes and 24 balloons. What is the greatest number of children who can attend the party so that each child gets an equal number of prizes and an equal number of balloons? Please show your work

User Delalma
by
4.0k points

1 Answer

5 votes

Answer:

12 children

Step-by-step explanation:

Given

Total prizes = 36prizes

Total balloons = 24 balloons

Next is to find the factors of 36 and 24

36 = (2 * 2 * 3 )* 3 = 12 * 3

24 = (2 * 2 * 3) * 2 = 12 * 2

This means that the greatest common factor is 12

The greatest number of children who can attend the party so that each child gets an equal number of prizes and an equal number of balloons will be the greatest common factor i. e 12 children

User Pauland
by
3.8k points