There are 15% as many black balls as silver balls in Cindy's collection of balls. The number of brown balls is 30% fewer than the number of silver balls. There are 385 more brown balls than black 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 brown balls? Leave your answer as a mixed number in its simplest form.

Black	Silver	Brown
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more brown balls than black balls
= 14 u - 3 u
= 11 u

11 u = 385

1 u = 385 ÷ 11 = 35

Total number of balls in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 35
= 1295

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

Answer(s): (a) 1295; (b) 142⁶₇ %