PSLE
Nora had a total of 127 pink and silver beads. She used 31 pink beads and 50% of the silver beads. After that, the ratio of the number of pink beads to silver beads Nora had was 6 : 1.

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

	Pink	Silver	Total
Before	6 u + 31	2 u	8 u + 31
Change	- 31	- 1 u
After	6 u	1 u	7 u
Comparing pink beads and silver beads in the end	6	1	7

(a)
50% = ⁵⁰₁₀₀ = ¹₂

Fraction of her silver beads that Nora used = ¹₂

Fraction of her silver beads that Nora was left with
= 1 - ¹₂
= ¹₂

(b)
The number of silver 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 silver beads at first = 2 u
Number of pink beads at first = 6 u + 31

Total number of beads at first
= 2 u + 6 u + 31
= 8 u + 31

8 u + 31 = 127
8 u = 127 - 31
8 u = 96

1 u = 96 ÷ 8 = 12

Number of silver beads in the end = 1 u
Number of pink beads in the end = 6 u

Number of more pink beads than silver beads that Nora had in the end
= 6 u - 1 u
= 5 u
= 5 x 12
= 60

Answer(s): (a)¹₂; (b) 60