There are 15% as many gold marbles as green marbles in Yoko's collection of marbles. The number of white marbles is 30% fewer than the number of green marbles. There are 440 more white marbles than gold marbles.

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

Gold	Green	White
3x1	20x1
	10x2	7x2
3 u	20 u	14 u

(a)
15% = ¹⁵₁₀₀ = ³₂₀

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

Number of more white marbles than gold marbles
= 14 u - 3 u
= 11 u

11 u = 440

1 u = 440 ÷ 11 = 40

Total number of marbles in the collection
= 3 u + 20 u + 14 u 
= 37 u
= 37 x 40
= 1480

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

Answer(s): (a) 1480; (b) 142⁶₇ %