PSLE
Kimberly had a total of 156 silver and pink beads. She used 48 silver beads and 75% of the pink beads. After that, the ratio of the number of silver beads to pink beads Kimberly had was 5 : 1.

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

	Silver beads	Pink beads	Total
Before	5 u + 48	4 u	9 u + 48
Change	- 48	- 3 u
After	5 u	1 u	6 u
Comparing silver beads and pink beads in the end	5	1	6

(a)
75% = ⁷⁵₁₀₀ = ³₄

Fraction of her pink beads that Kimberly used = ³₄

(b)
The number of pink 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 pink beads at first = 4 u
Number of silver beads at first = 5 u + 48

Total number of beads at first
= 4 u + 5 u + 48
= 9 u + 48

9 u + 48 = 156
9 u = 156 - 48
9 u = 108

1 u = 108 ÷ 9 = 12

Number of pink beads in the end = 1 u
Number of silver beads in the end = 5 u

Total number of beads in the end
= 5 u + 1 u
= 6 u
= 6 x 12
= 72

Answer(s): (a)³₄; (b) 72