PSLE
Raeann had a total of 121 gold and orange beads. She used 25 gold beads and 50% of the orange beads. After that, the ratio of the number of gold beads to orange beads Raeann had was 4 : 1.

1. What fraction of her orange beads was Raeann left with? Give your answer in the simplest form.
2. How many more gold beads than orange beads did Raeann have in the end?

	Gold	Orange	Total
Before	4 u + 25	2 u	6 u + 25
Change	- 25	- 1 u
After	4 u	1 u	5 u
Comparing gold beads and orange beads in the end	4	1	5

(a)
50% = ⁵⁰₁₀₀ = ¹₂

Fraction of her orange beads that Raeann used = ¹₂

Fraction of her orange beads that Raeann was left with
= 1 - ¹₂
= ¹₂

(b)
The number of orange 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 orange beads at first = 2 u
Number of gold beads at first = 4 u + 25

Total number of beads at first
= 2 u + 4 u + 25
= 6 u + 25

6 u + 25 = 121
6 u = 121 - 25
6 u = 96

1 u = 96 ÷ 6 = 16

Number of orange beads in the end = 1 u
Number of gold beads in the end = 4 u

Number of more gold beads than orange beads that Raeann had in the end
= 4 u - 1 u
= 3 u
= 3 x 16
= 48

Answer(s): (a)¹₂; (b) 48