There are 25% as many red marbles as pink marbles in Erika's collection of marbles. The number of blue marbles is 40% fewer than the number of pink marbles. There are 308 more blue marbles than red 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 blue marbles? Leave your answer as a mixed number in its simplest form.

Red	Pink	Blue
1x5	4x5
	5x4	3x4
5 u	20 u	12 u

(a)
25% = ²⁵₁₀₀ = ¹₄

100% - 40% = 60%
60% = ⁶⁰₁₀₀ = ³₅

The number of pink marbles is the repeated identity. Make the number of pink marbles the same.  LCM of 4 and 5 is 20.

Number of more blue marbles than red marbles
= 12 u - 5 u
= 7 u

7 u = 308

1 u = 308 ÷ 7 = 44

Total number of marbles in the collection
= 5 u + 20 u + 12 u 
= 37 u
= 37 x 44
= 1628

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

Answer(s): (a) 1628; (b) 166²₃ %