There are 10% as many green marbles as gold marbles in Risa's collection of marbles. The number of silver marbles is 40% fewer than the number of gold marbles. There are 535 more silver marbles than green marbles.

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

Green	Gold	Silver
1x1	10x1
	5x2	3x2
1 u	10 u	6 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of gold marbles is the repeated identity. Make the number of gold marbles the same.  LCM of 10 and 5 is 10.

Number of more silver marbles than green marbles
= 6 u - 1 u
= 5 u

5 u = 535

1 u = 535 ÷ 5 = 107

Total number of marbles in the collection
= 1 u + 10 u + 6 u 
= 17 u
= 17 x 107
= 1819

(b)
Percentage of the number of gold marbles as compared to the number of silver marbles
= ⁵₃ x 100%
= ⁵⁰⁰₃ %
= 166²₃ %

Answer(s): (a) 1819; (b) 166²₃ %