PSLE
Roshel had a total of 151 blue and green beads. She used 19 blue beads and 10% of the green beads. After that, the ratio of the number of blue beads to green beads Roshel had was 1 : 9.

1. What fraction of her green beads did Roshel use? Give your answer in the simplest form.
2. How many beads did Roshel have in the end?

	Blue beads	Green beads	Total
Before	1 u + 19	10 u	11 u + 19
Change	- 19	- 1 u
After	1 u	9 u	10 u
Comparing blue beads and green beads in the end	1	9	10

(a)
10% = ¹⁰₁₀₀ = ¹₁₀

Fraction of her green beads that Roshel used = ¹₁₀

(b)
The number of green 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 green beads at first = 10 u
Number of blue beads at first = 1 u + 19

Total number of beads at first
= 10 u + 1 u + 19
= 11 u + 19

11 u + 19 = 151
11 u = 151 - 19
11 u = 132

1 u = 132 ÷ 11 = 12

Number of green beads in the end = 9 u
Number of blue beads in the end = 1 u

Total number of beads in the end
= 1 u + 9 u
= 10 u
= 10 x 12
= 120

Answer(s): (a)¹₁₀; (b) 120