There are 20% as many yellow beads as brown beads in Lynn's collection of beads. The number of white beads is 30% fewer than the number of brown beads. There are 490 more white beads than yellow beads.

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

Yellow	Brown	White
1x2	5x2
	10x1	7x1
2 u	10 u	7 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of brown beads is the repeated identity. Make the number of brown beads the same.  LCM of 5 and 10 is 10.

Number of more white beads than yellow beads
= 7 u - 2 u
= 5 u

5 u = 490

1 u = 490 ÷ 5 = 98

Total number of beads in the collection
= 2 u + 10 u + 7 u 
= 19 u
= 19 x 98
= 1862

(b)
Percentage of the number of brown beads as compared to the number of white beads
= ¹⁰₇ x 100%
= ¹⁰⁰⁰₇ %
= 142⁶₇ %

Answer(s): (a) 1862; (b) 142⁶₇ %