There are 20% as many blue balls as green balls in Betty's collection of balls. The number of brown balls is 30% fewer than the number of green balls. There are 285 more brown balls than blue 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.

Blue	Green	Brown
1x2	5x2
	10x1	7x1
2 u	10 u	7 u

(a)
20% = ²⁰₁₀₀ = ¹₅

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 5 and 10 is 10.

Number of more brown balls than blue balls
= 7 u - 2 u
= 5 u

5 u = 285

1 u = 285 ÷ 5 = 57

Total number of balls in the collection
= 2 u + 10 u + 7 u 
= 19 u
= 19 x 57
= 1083

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

Answer(s): (a) 1083; (b) 142⁶₇ %