PSLE
Jane had a total of 80 silver and purple beads. She used 14 silver beads and 25% of the purple beads. After that, the ratio of the number of silver beads to purple beads Jane had was 7 : 3.

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

	Silver beads	Purple beads	Total
Before	7 u + 14	4 u	11 u + 14
Change	- 14	- 1 u
After	7 u	3 u	10 u
Comparing silver beads and purple beads in the end	7	3	10

(a)
25% = ²⁵₁₀₀ = ¹₄

Fraction of her purple beads that Jane used = ¹₄

(b)
The number of purple 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 purple beads at first = 4 u
Number of silver beads at first = 7 u + 14

Total number of beads at first
= 4 u + 7 u + 14
= 11 u + 14

11 u + 14 = 80
11 u = 80 - 14
11 u = 66

1 u = 66 ÷ 11 = 6

Number of purple beads in the end = 3 u
Number of silver beads in the end = 7 u

Total number of beads in the end
= 7 u + 3 u
= 10 u
= 10 x 6
= 60

Answer(s): (a)¹₄; (b) 60