There are 25% as many purple balls as pink balls in Hazel's collection of balls. The number of silver balls is 40% fewer than the number of pink balls. There are 539 more silver balls than purple 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 silver balls? Leave your answer as a mixed number in its simplest form.

Purple	Pink	Silver
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 silver balls than purple balls
= 12 u - 5 u
= 7 u

7 u = 539

1 u = 539 ÷ 7 = 77

Total number of balls in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 77
= 2849

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

Answer(s): (a) 2849; (b) 166²₃ %