PSLE
Jean had a total of 139 silver and orange beads. She used 49 silver beads and 70% of the orange beads. After that, the ratio of the number of silver beads to orange beads Jean had was 8 : 3.

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

	Silver	Orange	Total
Before	8 u + 49	10 u	18 u + 49
Change	- 49	- 7 u
After	8 u	3 u	11 u
Comparing silver beads and orange beads in the end	8	3	11

(a)
70% = ⁷⁰₁₀₀ = ⁷₁₀

Fraction of her orange beads that Jean used = ⁷₁₀

Fraction of her orange beads that Jean was left with
= 1 - ⁷₁₀
= ³₁₀

(b)
The number of orange 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 orange beads at first = 10 u
Number of silver beads at first = 8 u + 49

Total number of beads at first
= 10 u + 8 u + 49
= 18 u + 49

18 u + 49 = 139
18 u = 139 - 49
18 u = 90

1 u = 90 ÷ 18 = 5

Number of orange beads in the end = 3 u
Number of silver beads in the end = 8 u

Number of more silver beads than orange beads that Jean had in the end
= 8 u - 3 u
= 5 u
= 5 x 5
= 25

Answer(s): (a)³₁₀; (b) 25