There are 25% as many gold marbles as pink marbles in Linda's collection of marbles. The number of green marbles is 30% fewer than the number of pink marbles. There are 369 more green marbles than gold marbles.

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

Gold	Pink	Green
1x5	4x5
	10x2	7x2
5 u	20 u	14 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of pink marbles is the repeated identity. Make the number of pink marbles the same.  LCM of 4 and 10 is 20.

Number of more green marbles than gold marbles
= 14 u - 5 u
= 9 u

9 u = 369

1 u = 369 ÷ 9 = 41

Total number of marbles in the collection
= 5 u + 20 u + 14 u 
= 39 u
= 39 x 41
= 1599

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

Answer(s): (a) 1599; (b) 142⁶₇ %