Question

Q2. Ms Martin makes balloons arrangements, she has 32 blue balloons, 24 yellow balloons, and 16 white balloons. Each arrangement must have the same number of each color. What is the greatest number of arrangements that Ms. Martin can make if every balloon is used.​

Answer 1

The number of balloons in a arrangements must be a common factor of the number of different coloured balloons .

32 = 2 * 2 * 2 * 2 * 2

24 = 2 * 2 * 2 * 3

16 = 2 * 2 * 2

Common factors are 2 , 2 , 2

Greatest number of balloons in a combination =

2 * 2 * 2 = 8

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