There are 25% as many silver balls as red balls in Erika's collection of balls. The number of yellow balls is 45% fewer than the number of red balls. There are 540 more yellow balls than silver 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 yellow balls? Leave your answer as a mixed number in its simplest form.

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

(a)
25% = ²⁵₁₀₀ = ¹₄

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 4 and 20 is 20.

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

6 u = 540

1 u = 540 ÷ 6 = 90

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 90
= 3240

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

Answer(s): (a) 3240; (b) 181⁹₁₁ %