There are 25% as many green marbles as pink marbles in Yoko's collection of marbles. The number of grey marbles is 30% fewer than the number of pink marbles. There are 315 more grey marbles than green marbles.

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

Green	Pink	Grey
1x5	4x5
	10x2	7x2
5 u	20 u	14 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of pink marbles is the repeated identity. Make the number of pink marbles the same.  LCM of 4 and 10 is 20.

Number of more grey marbles than green marbles
= 14 u - 5 u
= 9 u

9 u = 315

1 u = 315 ÷ 9 = 35

Total number of marbles in the collection
= 5 u + 20 u + 14 u 
= 39 u
= 39 x 35
= 1365

(b)
Percentage of the number of pink marbles as compared to the number of grey marbles
= ¹⁰₇ x 100%
= ¹⁰⁰⁰₇ %
= 142⁶₇ %

Answer(s): (a) 1365; (b) 142⁶₇ %