There are 20% as many brown balls as gold balls in Joelle's collection of balls. The number of silver balls is 35% fewer than the number of gold balls. There are 477 more silver balls than brown 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.

Brown	Gold	Silver
1x4	5x4
	20x1	13x1
4 u	20 u	13 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more silver balls than brown balls
= 13 u - 4 u
= 9 u

9 u = 477

1 u = 477 ÷ 9 = 53

Total number of balls in the collection
= 4 u + 20 u + 13 u 
= 37 u
= 37 x 53
= 1961

(b)
Percentage of the number of gold balls as compared to the number of silver balls
= ²⁰₁₃ x 100%
= ²⁰⁰⁰₁₃ %
= 153¹¹₁₃ %

Answer(s): (a) 1961; (b) 153¹¹₁₃ %