There are 25% as many black balls as silver balls in Gem's collection of balls. The number of green balls is 40% fewer than the number of silver balls. There are 308 more green 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 green balls? Leave your answer as a mixed number in its simplest form.

Black	Silver	Green
1x5	4x5
	5x4	3x4
5 u	20 u	12 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of silver balls is the repeated identity. Make the number of silver balls the same.  LCM of 4 and 5 is 20.

Number of more green balls than black balls
= 12 u - 5 u
= 7 u

7 u = 308

1 u = 308 ÷ 7 = 44

Total number of balls in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 44
= 1628

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

Answer(s): (a) 1628; (b) 166²₃ %