Answer:
12 purple balloons.
Step-by-step explanation:
A clown has 54 purple balloons and 36 orange balloons.
So, the ratio of the number of purple balloons to orange balloons is 54 : 36 = 3 : 2.
Now, the clown arranges the balloons in two groups that have the same ratio of purple balloons to Orange balloons as a whole collection of balloons.
So, in each group, the ration of the number of purple to orange balloons will remain 3 : 2.
If in a group there are 8 orange balloons, the number of purple balloons in the group will be [tex]\frac{8 \times 3}{2} = 12[/tex]. (Answer)