PSLE
Lynn had a total of 199 orange and gold beads. She used 23 orange beads and 90% of the gold beads. After that, the ratio of the number of orange beads to gold beads Lynn had was 6 : 1.

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

	Orange	Gold	Total
Before	6 u + 23	10 u	16 u + 23
Change	- 23	- 9 u
After	6 u	1 u	7 u
Comparing orange beads and gold beads in the end	6	1	7

(a)
90% = ⁹⁰₁₀₀ = ⁹₁₀

Fraction of her gold beads that Lynn used = ⁹₁₀

Fraction of her gold beads that Lynn was left with
= 1 - ⁹₁₀
= ¹₁₀

(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 = 10 u
Number of orange beads at first = 6 u + 23

Total number of beads at first
= 10 u + 6 u + 23
= 16 u + 23

16 u + 23 = 199
16 u = 199 - 23
16 u = 176

1 u = 176 ÷ 16 = 11

Number of gold beads in the end = 1 u
Number of orange beads in the end = 6 u

Number of more orange beads than gold beads that Lynn had in the end
= 6 u - 1 u
= 5 u
= 5 x 11
= 55

Answer(s): (a)¹₁₀; (b) 55