PSLE
Xandra had a total of 228 green and orange beads. She used 46 green beads and 70% of the orange beads. After that, the ratio of the number of green beads to orange beads Xandra had was 4 : 3.

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

	Green beads	Orange beads	Total
Before	4 u + 46	10 u	14 u + 46
Change	- 46	- 7 u
After	4 u	3 u	7 u
Comparing green beads and orange beads in the end	4	3	7

(a)
70% = ⁷⁰₁₀₀ = ⁷₁₀

Fraction of her orange beads that Xandra used = ⁷₁₀

(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 = 10 u
Number of green beads at first = 4 u + 46

Total number of beads at first
= 10 u + 4 u + 46
= 14 u + 46

14 u + 46 = 228
14 u = 228 - 46
14 u = 182

1 u = 182 ÷ 14 = 13

Number of orange beads in the end = 3 u
Number of green beads in the end = 4 u

Total number of beads in the end
= 4 u + 3 u
= 7 u
= 7 x 13
= 91

Answer(s): (a)⁷₁₀; (b) 91