There are 10% as many gold balls as brown balls in Esther's collection of balls. The number of pink balls is 40% fewer than the number of brown balls. There are 475 more pink balls than gold balls.

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

Gold	Brown	Pink
1x1	10x1
	5x2	3x2
1 u	10 u	6 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

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

Number of more pink balls than gold balls
= 6 u - 1 u
= 5 u

5 u = 475

1 u = 475 ÷ 5 = 95

Total number of balls in the collection
= 1 u + 10 u + 6 u 
= 17 u
= 17 x 95
= 1615

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

Answer(s): (a) 1615; (b) 166²₃ %