There are 15% as many yellow balls as blue balls in Roshel's collection of balls. The number of black balls is 30% fewer than the number of blue balls. There are 418 more black balls than yellow balls.

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

Yellow	Blue	Black
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more black balls than yellow balls
= 14 u - 3 u
= 11 u

11 u = 418

1 u = 418 ÷ 11 = 38

Total number of balls in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 38
= 1406

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

Answer(s): (a) 1406; (b) 142⁶₇ %