There are 25% as many green balls as blue balls in Pamela's collection of balls. The number of white balls is 45% fewer than the number of blue balls. There are 342 more white balls than green balls.

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

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

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more white balls than green balls
= 11 u - 5 u
= 6 u

6 u = 342

1 u = 342 ÷ 6 = 57

Total number of balls in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 57
= 2052

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

Answer(s): (a) 2052; (b) 181⁹₁₁ %