There are 25% as many gold balls as pink balls in Cathy's collection of balls. The number of silver balls is 45% fewer than the number of pink balls. There are 462 more silver balls than gold 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.

Gold	Pink	Silver
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more silver balls than gold balls
= 11 u - 5 u
= 6 u

6 u = 462

1 u = 462 ÷ 6 = 77

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 77
= 2772

(b)
Percentage of the number of pink balls as compared to the number of silver balls
= ²⁰₁₁ x 100%
= ²⁰⁰⁰₁₁ %
= 181⁹₁₁ %

Answer(s): (a) 2772; (b) 181⁹₁₁ %