There are 25% as many silver balls as purple balls in Jaslyn's collection of balls. The number of yellow balls is 30% fewer than the number of purple balls. There are 306 more yellow balls than silver 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 yellow balls? Leave your answer as a mixed number in its simplest form.

Silver	Purple	Yellow
1x5	4x5
	10x2	7x2
5 u	20 u	14 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more yellow balls than silver balls
= 14 u - 5 u
= 9 u

9 u = 306

1 u = 306 ÷ 9 = 34

Total number of balls in the collection
= 5 u + 20 u + 14 u 
= 39 u
= 39 x 34
= 1326

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

Answer(s): (a) 1326; (b) 142⁶₇ %