There are 25% as many gold beads as blue beads in Raeann's collection of beads. The number of white beads is 40% fewer than the number of blue beads. There are 455 more white beads than gold beads.

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

Gold	Blue	White
1x5	4x5
	5x4	3x4
5 u	20 u	12 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of blue beads is the repeated identity. Make the number of blue beads the same.  LCM of 4 and 5 is 20.

Number of more white beads than gold beads
= 12 u - 5 u
= 7 u

7 u = 455

1 u = 455 ÷ 7 = 65

Total number of beads in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 65
= 2405

(b)
Percentage of the number of blue beads as compared to the number of white beads
= ⁵₃ x 100%
= ⁵⁰⁰₃ %
= 166²₃ %

Answer(s): (a) 2405; (b) 166²₃ %