There are 25% as many gold marbles as grey marbles in Marion's collection of marbles. The number of blue marbles is 45% fewer than the number of grey marbles. There are 396 more blue marbles than gold marbles.

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

Gold	Grey	Blue
1x5	4x5
	20x1	11x1
5 u	20 u	11 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more blue marbles than gold marbles
= 11 u - 5 u
= 6 u

6 u = 396

1 u = 396 ÷ 6 = 66

Total number of marbles in the collection
= 5 u + 20 u + 11 u 
= 36 u
= 36 x 66
= 2376

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

Answer(s): (a) 2376; (b) 181⁹₁₁ %