There are 25% as many purple balls as brown balls in Fanny's collection of balls. The number of silver balls is 45% fewer than the number of brown balls. There are 378 more silver balls than purple balls.

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

Purple	Brown	Silver
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

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

6 u = 378

1 u = 378 ÷ 6 = 63

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 63
= 2268

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

Answer(s): (a) 2268; (b) 181⁹₁₁ %