There are 25% as many blue beads as white beads in Tammy's collection of beads. The number of silver beads is 45% fewer than the number of white beads. There are 354 more silver beads than blue beads.

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

Blue	White	Silver
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

The number of white beads is the repeated identity. Make the number of white beads the same.  LCM of 4 and 20 is 20.

Number of more silver beads than blue beads
= 11 u - 5 u
= 6 u

6 u = 354

1 u = 354 ÷ 6 = 59

Total number of beads in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 59
= 2124

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

Answer(s): (a) 2124; (b) 181⁹₁₁ %