PSLE
Gillian had a total of 105 green and blue beads. She used 35 green beads and 60% of the blue beads. After that, the ratio of the number of green beads to blue beads Gillian had was 5 : 2.

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

	Green	Blue	Total
Before	5 u + 35	5 u	10 u + 35
Change	- 35	- 3 u
After	5 u	2 u	7 u
Comparing green beads and blue beads in the end	5	2	7

(a)
60% = ⁶⁰₁₀₀ = ³₅

Fraction of her blue beads that Gillian used = ³₅

Fraction of her blue beads that Gillian was left with
= 1 - ³₅
= ²₅

(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 = 5 u
Number of green beads at first = 5 u + 35

Total number of beads at first
= 5 u + 5 u + 35
= 10 u + 35

10 u + 35 = 105
10 u = 105 - 35
10 u = 70

1 u = 70 ÷ 10 = 7

Number of blue beads in the end = 2 u
Number of green beads in the end = 5 u

Number of more green beads than blue beads that Gillian had in the end
= 5 u - 2 u
= 3 u
= 3 x 7
= 21

Answer(s): (a)²₅; (b) 21