There are 20% as many pink balls as white balls in Gwen's collection of balls. The number of yellow balls is 35% fewer than the number of white balls. There are 423 more yellow balls than pink balls.

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

Pink	White	Yellow
1x4	5x4
	20x1	13x1
4 u	20 u	13 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more yellow balls than pink balls
= 13 u - 4 u
= 9 u

9 u = 423

1 u = 423 ÷ 9 = 47

Total number of balls in the collection
= 4 u + 20 u + 13 u 
= 37 u
= 37 x 47
= 1739

(b)
Percentage of the number of white balls as compared to the number of yellow balls
= ²⁰₁₃ x 100%
= ²⁰⁰⁰₁₃ %
= 153¹¹₁₃ %

Answer(s): (a) 1739; (b) 153¹¹₁₃ %