There are 25% as many blue balls as green balls in Kathy's collection of balls. The number of black balls is 45% fewer than the number of green balls. There are 384 more black balls than blue 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 black balls? Leave your answer as a mixed number in its simplest form.

Blue	Green	Black
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 black balls than blue balls
= 11 u - 5 u
= 6 u

6 u = 384

1 u = 384 ÷ 6 = 64

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 64
= 2304

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

Answer(s): (a) 2304; (b) 181⁹₁₁ %