There are 15% as many green beads as pink beads in Shannon's collection of beads. The number of grey beads is 30% fewer than the number of pink beads. There are 275 more grey beads than green beads.

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

Green	Pink	Grey
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more grey beads than green beads
= 14 u - 3 u
= 11 u

11 u = 275

1 u = 275 ÷ 11 = 25

Total number of beads in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 25
= 925

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

Answer(s): (a) 925; (b) 142⁶₇ %