There are 25% as many gold beads as green beads in Jade's collection of beads. The number of white beads is 45% fewer than the number of green beads. There are 408 more white beads than gold beads.

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

Gold	Green	White
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more white beads than gold beads
= 11 u - 5 u
= 6 u

6 u = 408

1 u = 408 ÷ 6 = 68

Total number of beads in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 68
= 2448

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

Answer(s): (a) 2448; (b) 181⁹₁₁ %