There are 25% as many grey beads as silver beads in Shannon's collection of beads. The number of blue beads is 45% fewer than the number of silver beads. There are 540 more blue beads than grey 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 blue beads? Leave your answer as a mixed number in its simplest form.

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

(a)
25% = ²⁵₁₀₀ = ¹₄

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 4 and 20 is 20.

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

6 u = 540

1 u = 540 ÷ 6 = 90

Total number of beads in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 90
= 3240

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

Answer(s): (a) 3240; (b) 181⁹₁₁ %