PSLE
Gwen had a total of 274 blue and green beads. She used 46 blue beads and 20% of the green beads. After that, the ratio of the number of blue beads to green beads Gwen had was 7 : 4.

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

	Blue	Green	Total
Before	7 u + 46	5 u	12 u + 46
Change	- 46	- 1 u
After	7 u	4 u	11 u
Comparing blue beads and green beads in the end	7	4	11

(a)
20% = ²⁰₁₀₀ = ¹₅

Fraction of her green beads that Gwen used = ¹₅

Fraction of her green beads that Gwen was left with
= 1 - ¹₅
= ⁴₅

(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 blue beads at first = 7 u + 46

Total number of beads at first
= 5 u + 7 u + 46
= 12 u + 46

12 u + 46 = 274
12 u = 274 - 46
12 u = 228

1 u = 228 ÷ 12 = 19

Number of green beads in the end = 4 u
Number of blue beads in the end = 7 u

Number of more blue beads than green beads that Gwen had in the end
= 7 u - 4 u
= 3 u
= 3 x 19
= 57

Answer(s): (a)⁴₅; (b) 57