There are 25% as many red balls as gold balls in Julie's collection of balls. The number of silver balls is 45% fewer than the number of gold balls. There are 504 more silver balls than red balls.

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

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

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

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

6 u = 504

1 u = 504 ÷ 6 = 84

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 84
= 3024

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

Answer(s): (a) 3024; (b) 181⁹₁₁ %