There are 25% as many pink beads as brown beads in Min's collection of beads. The number of black beads is 40% fewer than the number of brown beads. There are 539 more black beads than pink 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 black beads? Leave your answer as a mixed number in its simplest form.

Pink	Brown	Black
1x5	4x5
	5x4	3x4
5 u	20 u	12 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

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

Number of more black beads than pink beads
= 12 u - 5 u
= 7 u

7 u = 539

1 u = 539 ÷ 7 = 77

Total number of beads in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 77
= 2849

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

Answer(s): (a) 2849; (b) 166²₃ %