Question

A clown has 54 purple balloons and 36 orange balloons. 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. How many purple balloons are in a group that has eight orange balloons? Complete the ratio table to solve the problem

Answer 1

12 purple balloons.

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
`(8 * 3)/(2) = 12`. (Answer)