There are 20% as many silver beads as brown beads in Wendy's collection of beads. The number of blue beads is 45% fewer than the number of brown beads. There are 259 more blue beads than silver beads.

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

Silver	Brown	Blue
1x4	5x4
	20x1	11x1
4 u	20 u	11 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

The number of brown beads is the repeated identity. Make the number of brown beads the same.  LCM of 5 and 20 is 20.

Number of more blue beads than silver beads
= 11 u - 4 u
= 7 u

7 u = 259

1 u = 259 ÷ 7 = 37

Total number of beads in the collection
= 4 u + 20 u + 11 u 
= 35 u
= 35 x 37
= 1295

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

Answer(s): (a) 1295; (b) 181⁹₁₁ %