There are 20% as many green balls as red balls in Xuan's collection of balls. The number of silver balls is 45% fewer than the number of red balls. There are 371 more silver balls than green balls.

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

Green	Red	Silver
1x4	5x4
	20x1	11x1
4 u	20 u	11 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more silver balls than green balls
= 11 u - 4 u
= 7 u

7 u = 371

1 u = 371 ÷ 7 = 53

Total number of balls in the collection
= 4 u + 20 u + 11 u 
= 35 u
= 35 x 53
= 1855

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

Answer(s): (a) 1855; (b) 181⁹₁₁ %