There are 10% as many green marbles as blue marbles in Jaslyn's collection of marbles. The number of silver marbles is 35% fewer than the number of blue marbles. There are 275 more silver marbles than green 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 silver marbles? Leave your answer as a mixed number in its simplest form.

Green	Blue	Silver
1x2	10x2
	20x1	13x1
2 u	20 u	13 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more silver marbles than green marbles
= 13 u - 2 u
= 11 u

11 u = 275

1 u = 275 ÷ 11 = 25

Total number of marbles in the collection
= 2 u + 20 u + 13 u 
= 35 u
= 35 x 25
= 875

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

Answer(s): (a) 875; (b) 153¹¹₁₃ %