Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.