There are 25% as many gold beads as pink beads in Julie's collection of beads. The number of yellow beads is 45% fewer than the number of pink beads. There are 300 more yellow beads than gold 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 yellow beads? Leave your answer as a mixed number in its simplest form.

Gold	Pink	Yellow
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

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

6 u = 300

1 u = 300 ÷ 6 = 50

Total number of beads in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 50
= 1800

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

Answer(s): (a) 1800; (b) 181⁹₁₁ %