There are 10% as many green beads as silver beads in Tiffany's collection of beads. The number of brown beads is 45% fewer than the number of silver beads. There are 351 more brown beads than green beads.

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

Green	Silver	Brown
1x2	10x2
	20x1	11x1
2 u	20 u	11 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more brown beads than green beads
= 11 u - 2 u
= 9 u

9 u = 351

1 u = 351 ÷ 9 = 39

Total number of beads in the collection
= 2 u + 20 u + 11 u 
= 33 u
= 33 x 39
= 1287

(b)
Percentage of the number of silver beads as compared to the number of brown beads
= ²⁰₁₁ x 100%
= ²⁰⁰⁰₁₁ %
= 181⁹₁₁ %

Answer(s): (a) 1287; (b) 181⁹₁₁ %