There are 25% as many purple balls as brown balls in Nora's collection of balls. The number of pink balls is 35% fewer than the number of brown balls. There are 288 more pink balls than purple balls.

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

Purple	Brown	Pink
1x5	4x5
	20x1	13x1
5 u	20 u	13 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more pink balls than purple balls
= 13 u - 5 u
= 8 u

8 u = 288

1 u = 288 ÷ 8 = 36

Total number of balls in the collection
= 5 u + 20 u + 13 u 
= 38 u
= 38 x 36
= 1368

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

Answer(s): (a) 1368; (b) 153¹¹₁₃ %