There are 20% as many black balls as pink balls in Lynn's collection of balls. The number of white balls is 45% fewer than the number of pink balls. There are 385 more white balls than black balls.

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

Black	Pink	White
1x4	5x4
	20x1	11x1
4 u	20 u	11 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more white balls than black balls
= 11 u - 4 u
= 7 u

7 u = 385

1 u = 385 ÷ 7 = 55

Total number of balls in the collection
= 4 u + 20 u + 11 u 
= 35 u
= 35 x 55
= 1925

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

Answer(s): (a) 1925; (b) 181⁹₁₁ %