There are 25% as many black beads as pink beads in Pamela's collection of beads. The number of brown beads is 40% fewer than the number of pink beads. There are 357 more brown beads than black beads.

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

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

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

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

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

7 u = 357

1 u = 357 ÷ 7 = 51

Total number of beads in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 51
= 1887

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

Answer(s): (a) 1887; (b) 166²₃ %