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?'

Respuesta :

Answer:

4

Step-by-step explanation:

16 = 2 * 2 * 2 * 2

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 2 * 2

HCF = 2 * 2 *  2 = 8

Possible common factors are  1 , 2 , 4 , 8

Ratio in which flowers to be used  16:24 : 32

= 2 : 3 : 4

4 Possible arrangement

Orange      White     Baloon    

2                 3             4

4                 6             8

8                 12           16

16                24           32

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