There are 20% as many brown beads as yellow beads in Lynn's collection of beads. The number of blue beads is 35% fewer than the number of yellow beads. There are 342 more blue beads than brown beads.

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

Brown	Yellow	Blue
1x4	5x4
	20x1	13x1
4 u	20 u	13 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 35% = 65%
65% = ⁶⁵₁₀₀ = ¹³₂₀

The number of yellow beads is the repeated identity. Make the number of yellow beads the same.  LCM of 5 and 20 is 20.

Number of more blue beads than brown beads
= 13 u - 4 u
= 9 u

9 u = 342

1 u = 342 ÷ 9 = 38

Total number of beads in the collection
= 4 u + 20 u + 13 u 
= 37 u
= 37 x 38
= 1406

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

Answer(s): (a) 1406; (b) 153¹¹₁₃ %