There are 25% as many silver balls as green balls in Esther's collection of balls. The number of blue balls is 45% fewer than the number of green balls. There are 360 more blue balls than silver balls.

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

Silver	Green	Blue
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

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

6 u = 360

1 u = 360 ÷ 6 = 60

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 60
= 2160

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

Answer(s): (a) 2160; (b) 181⁹₁₁ %