Question

Item 5 A clown has 63 blue balloons and 45 red balloons. The clown arranges the balloons into groups that have the same ratio of blue balloons to red balloons as the whole collection of balloons. How many blue balloons are in a group that has 10 red balloons? Complete the ratio table to solve the problem.

Answer 1

63 and 45 are both divisible by 9.
63:45 = 7:5
63 blue balloons to 45 red balloons is the same ratio as 7 blue balloons to 5 red balloons.

Since now you want the number of red balloons to be 10, then

7:5 = x:10

x = 14

Answer: A group that has 10 red balloons has 14 blue balloons.