There are 15% as many white balls as yellow balls in Lucy's collection of balls. The number of blue balls is 30% fewer than the number of yellow balls. There are 539 more blue balls than white balls.

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

White	Yellow	Blue
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of yellow balls is the repeated identity. Make the number of yellow balls the same.  LCM of 20 and 10 is 20.

Number of more blue balls than white balls
= 14 u - 3 u
= 11 u

11 u = 539

1 u = 539 ÷ 11 = 49

Total number of balls in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 49
= 1813

(b)
Percentage of the number of yellow balls as compared to the number of blue balls
= ¹⁰₇ x 100%
= ¹⁰⁰⁰₇ %
= 142⁶₇ %

Answer(s): (a) 1813; (b) 142⁶₇ %