PSLE
Gabby had a total of 227 yellow and blue beads. She used 35 yellow beads and 50% of the blue beads. After that, the ratio of the number of yellow beads to blue beads Gabby had was 10 : 1.

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

	Yellow	Blue	Total
Before	10 u + 35	2 u	12 u + 35
Change	- 35	- 1 u
After	10 u	1 u	11 u
Comparing yellow beads and blue beads in the end	10	1	11

(a)
50% = ⁵⁰₁₀₀ = ¹₂

Fraction of her blue beads that Gabby used = ¹₂

Fraction of her blue beads that Gabby was left with
= 1 - ¹₂
= ¹₂

(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 = 2 u
Number of yellow beads at first = 10 u + 35

Total number of beads at first
= 2 u + 10 u + 35
= 12 u + 35

12 u + 35 = 227
12 u = 227 - 35
12 u = 192

1 u = 192 ÷ 12 = 16

Number of blue beads in the end = 1 u
Number of yellow beads in the end = 10 u

Number of more yellow beads than blue beads that Gabby had in the end
= 10 u - 1 u
= 9 u
= 9 x 16
= 144

Answer(s): (a)¹₂; (b) 144