There are 25% as many brown marbles as green marbles in Erika's collection of marbles. The number of red marbles is 35% fewer than the number of green marbles. There are 448 more red marbles than brown 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 red marbles? Leave your answer as a mixed number in its simplest form.

Brown	Green	Red
1x5	4x5
	20x1	13x1
5 u	20 u	13 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more red marbles than brown marbles
= 13 u - 5 u
= 8 u

8 u = 448

1 u = 448 ÷ 8 = 56

Total number of marbles in the collection
= 5 u + 20 u + 13 u 
= 38 u
= 38 x 56
= 2128

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

Answer(s): (a) 2128; (b) 153¹¹₁₃ %