PSLE
Jaslyn had a total of 228 yellow and gold beads. She used 46 yellow beads and 80% of the gold beads. After that, the ratio of the number of yellow beads to gold beads Jaslyn had was 9 : 1.

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

	Yellow	Gold	Total
Before	9 u + 46	5 u	14 u + 46
Change	- 46	- 4 u
After	9 u	1 u	10 u
Comparing yellow beads and gold beads in the end	9	1	10

(a)
80% = ⁸⁰₁₀₀ = ⁴₅

Fraction of her gold beads that Jaslyn used = ⁴₅

Fraction of her gold beads that Jaslyn was left with
= 1 - ⁴₅
= ¹₅

(b)
The number of gold 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 gold beads at first = 5 u
Number of yellow beads at first = 9 u + 46

Total number of beads at first
= 5 u + 9 u + 46
= 14 u + 46

14 u + 46 = 228
14 u = 228 - 46
14 u = 182

1 u = 182 ÷ 14 = 13

Number of gold beads in the end = 1 u
Number of yellow beads in the end = 9 u

Number of more yellow beads than gold beads that Jaslyn had in the end
= 9 u - 1 u
= 8 u
= 8 x 13
= 104

Answer(s): (a)¹₅; (b) 104