There are 10% as many yellow balls as grey balls in Winnie's collection of balls. The number of white balls is 40% fewer than the number of grey balls. There are 350 more white balls than yellow balls.

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

Yellow	Grey	White
1x1	10x1
	5x2	3x2
1 u	10 u	6 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of grey balls is the repeated identity. Make the number of grey balls the same.  LCM of 10 and 5 is 10.

Number of more white balls than yellow balls
= 6 u - 1 u
= 5 u

5 u = 350

1 u = 350 ÷ 5 = 70

Total number of balls in the collection
= 1 u + 10 u + 6 u 
= 17 u
= 17 x 70
= 1190

(b)
Percentage of the number of grey balls as compared to the number of white balls
= ⁵₃ x 100%
= ⁵⁰⁰₃ %
= 166²₃ %

Answer(s): (a) 1190; (b) 166²₃ %