There are 15% as many white beads as black beads in Ivory's collection of beads. The number of pink beads is 30% fewer than the number of black beads. There are 341 more pink beads than white beads.

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

White	Black	Pink
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more pink beads than white beads
= 14 u - 3 u
= 11 u

11 u = 341

1 u = 341 ÷ 11 = 31

Total number of beads in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 31
= 1147

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

Answer(s): (a) 1147; (b) 142⁶₇ %