There are 20% as many green marbles as red marbles in Jane's collection of marbles. The number of pink marbles is 45% fewer than the number of red marbles. There are 252 more pink marbles than green marbles.

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

Green	Red	Pink
1x4	5x4
	20x1	11x1
4 u	20 u	11 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 45% = 55%
55% = ⁵⁵₁₀₀ = ¹¹₂₀

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

Number of more pink marbles than green marbles
= 11 u - 4 u
= 7 u

7 u = 252

1 u = 252 ÷ 7 = 36

Total number of marbles in the collection
= 4 u + 20 u + 11 u 
= 35 u
= 35 x 36
= 1260

(b)
Percentage of the number of red marbles as compared to the number of pink marbles
= ²⁰₁₁ x 100%
= ²⁰⁰⁰₁₁ %
= 181⁹₁₁ %

Answer(s): (a) 1260; (b) 181⁹₁₁ %