There are 25% as many gold balls as green balls in Kathy's collection of balls. The number of brown balls is 30% fewer than the number of green balls. There are 531 more brown balls than gold balls.

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

Gold	Green	Brown
1x5	4x5
	10x2	7x2
5 u	20 u	14 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of green balls is the repeated identity. Make the number of green balls the same.  LCM of 4 and 10 is 20.

Number of more brown balls than gold balls
= 14 u - 5 u
= 9 u

9 u = 531

1 u = 531 ÷ 9 = 59

Total number of balls in the collection
= 5 u + 20 u + 14 u 
= 39 u
= 39 x 59
= 2301

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

Answer(s): (a) 2301; (b) 142⁶₇ %