There are 20% as many purple balls as gold balls in Mary's collection of balls. The number of green balls is 30% fewer than the number of gold balls. There are 385 more green balls than purple balls.

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

Purple	Gold	Green
1x2	5x2
	10x1	7x1
2 u	10 u	7 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of gold balls is the repeated identity. Make the number of gold balls the same.  LCM of 5 and 10 is 10.

Number of more green balls than purple balls
= 7 u - 2 u
= 5 u

5 u = 385

1 u = 385 ÷ 5 = 77

Total number of balls in the collection
= 2 u + 10 u + 7 u 
= 19 u
= 19 x 77
= 1463

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

Answer(s): (a) 1463; (b) 142⁶₇ %