PSLE
Irene had a total of 94 red and silver beads. She used 34 red beads and 50% of the silver beads. After that, the ratio of the number of red beads to silver beads Irene had was 2 : 1.

1. What fraction of her silver beads did Irene use? Give your answer in the simplest form.
2. How many beads did Irene have in the end?

	Red beads	Silver beads	Total
Before	2 u + 34	2 u	4 u + 34
Change	- 34	- 1 u
After	2 u	1 u	3 u
Comparing red beads and silver beads in the end	2	1	3

(a)
50% = ⁵⁰₁₀₀ = ¹₂

Fraction of her silver beads that Irene used = ¹₂

(b)
The number of silver beads in the end is repeated.
Since the numbers are already the same, we do not need to use LCM to make them the same.

Number of silver beads at first = 2 u
Number of red beads at first = 2 u + 34

Total number of beads at first
= 2 u + 2 u + 34
= 4 u + 34

4 u + 34 = 94
4 u = 94 - 34
4 u = 60

1 u = 60 ÷ 4 = 15

Number of silver beads in the end = 1 u
Number of red beads in the end = 2 u

Total number of beads in the end
= 2 u + 1 u
= 3 u
= 3 x 15
= 45

Answer(s): (a)¹₂; (b) 45