There are 10% as many yellow balls as white balls in Jane's collection of balls. The number of grey balls is 35% fewer than the number of white balls. There are 396 more grey balls than yellow 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 grey balls? Leave your answer as a mixed number in its simplest form.

Yellow	White	Grey
1x2	10x2
	20x1	13x1
2 u	20 u	13 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

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 10 and 20 is 20.

Number of more grey balls than yellow balls
= 13 u - 2 u
= 11 u

11 u = 396

1 u = 396 ÷ 11 = 36

Total number of balls in the collection
= 2 u + 20 u + 13 u 
= 35 u
= 35 x 36
= 1260

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

Answer(s): (a) 1260; (b) 153¹¹₁₃ %