There are 15% as many blue marbles as silver marbles in Betty's collection of marbles. The number of pink marbles is 40% fewer than the number of silver marbles. There are 441 more pink marbles than blue marbles.

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

Blue	Silver	Pink
3x1	20x1
	5x4	3x4
3 u	20 u	12 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

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

Number of more pink marbles than blue marbles
= 12 u - 3 u
= 9 u

9 u = 441

1 u = 441 ÷ 9 = 49

Total number of marbles in the collection
= 3 u + 20 u + 12 u 
= 35 u
= 35 x 49
= 1715

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

Answer(s): (a) 1715; (b) 166²₃ %