There are 15% as many black beads as green beads in Joelle's collection of beads. The number of brown beads is 30% fewer than the number of green beads. There are 440 more brown beads than black beads.

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

Black	Green	Brown
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of green beads is the repeated identity. Make the number of green beads the same.  LCM of 20 and 10 is 20.

Number of more brown beads than black beads
= 14 u - 3 u
= 11 u

11 u = 440

1 u = 440 ÷ 11 = 40

Total number of beads in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 40
= 1480

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

Answer(s): (a) 1480; (b) 142⁶₇ %