There are 25% as many blue balls as purple balls in Marion's collection of balls. The number of gold balls is 35% fewer than the number of purple balls. There are 376 more gold balls than blue balls.

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

Blue	Purple	Gold
1x5	4x5
	20x1	13x1
5 u	20 u	13 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more gold balls than blue balls
= 13 u - 5 u
= 8 u

8 u = 376

1 u = 376 ÷ 8 = 47

Total number of balls in the collection
= 5 u + 20 u + 13 u 
= 38 u
= 38 x 47
= 1786

(b)
Percentage of the number of purple balls as compared to the number of gold balls
= ²⁰₁₃ x 100%
= ²⁰⁰⁰₁₃ %
= 153¹¹₁₃ %

Answer(s): (a) 1786; (b) 153¹¹₁₃ %