There are 10% as many grey balls as silver balls in Nicole's collection of balls. The number of red balls is 45% fewer than the number of silver balls. There are 360 more red balls than grey balls.

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

Grey	Silver	Red
1x2	10x2
	20x1	11x1
2 u	20 u	11 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more red balls than grey balls
= 11 u - 2 u
= 9 u

9 u = 360

1 u = 360 ÷ 9 = 40

Total number of balls in the collection
= 2 u + 20 u + 11 u 
= 33 u
= 33 x 40
= 1320

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

Answer(s): (a) 1320; (b) 181⁹₁₁ %