PSLE
Jaslyn had a total of 211 orange and blue beads. She used 43 orange beads and 25% of the blue beads. After that, the ratio of the number of orange beads to blue beads Jaslyn had was 10 : 3.

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

	Orange	Blue	Total
Before	10 u + 43	4 u	14 u + 43
Change	- 43	- 1 u
After	10 u	3 u	13 u
Comparing orange beads and blue beads in the end	10	3	13

(a)
25% = ²⁵₁₀₀ = ¹₄

Fraction of her blue beads that Jaslyn used = ¹₄

Fraction of her blue beads that Jaslyn was left with
= 1 - ¹₄
= ³₄

(b)
The number of blue 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 blue beads at first = 4 u
Number of orange beads at first = 10 u + 43

Total number of beads at first
= 4 u + 10 u + 43
= 14 u + 43

14 u + 43 = 211
14 u = 211 - 43
14 u = 168

1 u = 168 ÷ 14 = 12

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

Number of more orange beads than blue beads that Jaslyn had in the end
= 10 u - 3 u
= 7 u
= 7 x 12
= 84

Answer(s): (a)³₄; (b) 84