PSLE
Kylie had a total of 95 blue and purple beads. She used 11 blue beads and 25% of the purple beads. After that, the ratio of the number of blue beads to purple beads Kylie had was 10 : 3.

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

	Blue beads	Purple beads	Total
Before	10 u + 11	4 u	14 u + 11
Change	- 11	- 1 u
After	10 u	3 u	13 u
Comparing blue beads and purple beads in the end	10	3	13

(a)
25% = ²⁵₁₀₀ = ¹₄

Fraction of her purple beads that Kylie 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 blue beads at first = 10 u + 11

Total number of beads at first
= 4 u + 10 u + 11
= 14 u + 11

14 u + 11 = 95
14 u = 95 - 11
14 u = 84

1 u = 84 ÷ 14 = 6

Number of purple beads in the end = 3 u
Number of blue beads in the end = 10 u

Total number of beads in the end
= 10 u + 3 u
= 13 u
= 13 x 6
= 78

Answer(s): (a)¹₄; (b) 78