There are 10% as many silver beads as red beads in Anna's collection of beads. The number of blue beads is 35% fewer than the number of red beads. There are 550 more blue beads than silver beads.

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

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

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

The number of red beads is the repeated identity. Make the number of red beads the same.  LCM of 10 and 20 is 20.

Number of more blue beads than silver beads
= 13 u - 2 u
= 11 u

11 u = 550

1 u = 550 ÷ 11 = 50

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

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

Answer(s): (a) 1750; (b) 153¹¹₁₃ %