There are 20% as many yellow marbles as grey marbles in Usha's collection of marbles. The number of green marbles is 35% fewer than the number of grey marbles. There are 261 more green marbles than yellow 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 green marbles? Leave your answer as a mixed number in its simplest form.

Yellow	Grey	Green
1x4	5x4
	20x1	13x1
4 u	20 u	13 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

The number of grey marbles is the repeated identity. Make the number of grey marbles the same.  LCM of 5 and 20 is 20.

Number of more green marbles than yellow marbles
= 13 u - 4 u
= 9 u

9 u = 261

1 u = 261 ÷ 9 = 29

Total number of marbles in the collection
= 4 u + 20 u + 13 u 
= 37 u
= 37 x 29
= 1073

(b)
Percentage of the number of grey marbles as compared to the number of green marbles
= ²⁰₁₃ x 100%
= ²⁰⁰⁰₁₃ %
= 153¹¹₁₃ %

Answer(s): (a) 1073; (b) 153¹¹₁₃ %