There are 25% as many white marbles as blue marbles in Hilda's collection of marbles. The number of pink marbles is 45% fewer than the number of blue marbles. There are 252 more pink marbles than white marbles.

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

White	Blue	Pink
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more pink marbles than white marbles
= 11 u - 5 u
= 6 u

6 u = 252

1 u = 252 ÷ 6 = 42

Total number of marbles in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 42
= 1512

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

Answer(s): (a) 1512; (b) 181⁹₁₁ %