PSLE
Jane had a total of 250 purple and green beads. She used 40 purple beads and 20% of the green beads. After that, the ratio of the number of purple beads to green beads Jane had was 9 : 4.

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

	Purple beads	Green beads	Total
Before	9 u + 40	5 u	14 u + 40
Change	- 40	- 1 u
After	9 u	4 u	13 u
Comparing purple beads and green beads in the end	9	4	13

(a)
20% = ²⁰₁₀₀ = ¹₅

Fraction of her green beads that Jane used = ¹₅

(b)
The number of green 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 green beads at first = 5 u
Number of purple beads at first = 9 u + 40

Total number of beads at first
= 5 u + 9 u + 40
= 14 u + 40

14 u + 40 = 250
14 u = 250 - 40
14 u = 210

1 u = 210 ÷ 14 = 15

Number of green beads in the end = 4 u
Number of purple beads in the end = 9 u

Total number of beads in the end
= 9 u + 4 u
= 13 u
= 13 x 15
= 195

Answer(s): (a)¹₅; (b) 195