There are 10% as many red marbles as blue marbles in Jaslyn's collection of marbles. The number of white marbles is 35% fewer than the number of blue marbles. There are 550 more white marbles than red marbles.

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

Red	Blue	White
1x2	10x2
	20x1	13x1
2 u	20 u	13 u

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

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

Number of more white marbles than red marbles
= 13 u - 2 u
= 11 u

11 u = 550

1 u = 550 ÷ 11 = 50

Total number of marbles in the collection
= 2 u + 20 u + 13 u 
= 35 u
= 35 x 50
= 1750

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

Answer(s): (a) 1750; (b) 153¹¹₁₃ %