There are 25% as many green balls as pink balls in Kathy's collection of balls. The number of purple balls is 40% fewer than the number of pink balls. There are 399 more purple balls than green balls.

1. Find the total number of balls in the collection.
2. What percentage are the number of pink balls as compared to the number of purple balls? Leave your answer as a mixed number in its simplest form.

Green	Pink	Purple
1x5	4x5
	5x4	3x4
5 u	20 u	12 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of pink balls is the repeated identity. Make the number of pink balls the same.  LCM of 4 and 5 is 20.

Number of more purple balls than green balls
= 12 u - 5 u
= 7 u

7 u = 399

1 u = 399 ÷ 7 = 57

Total number of balls in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 57
= 2109

(b)
Percentage of the number of pink balls as compared to the number of purple balls
= ⁵₃ x 100%
= ⁵⁰⁰₃ %
= 166²₃ %

Answer(s): (a) 2109; (b) 166²₃ %