There are 25% as many white balls as black balls in Esther's collection of balls. The number of green balls is 40% fewer than the number of black balls. There are 448 more green balls than white balls.

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

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

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

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

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

7 u = 448

1 u = 448 ÷ 7 = 64

Total number of balls in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 64
= 2368

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

Answer(s): (a) 2368; (b) 166²₃ %