PSLE
Jen had a total of 124 pink and gold beads. She used 44 pink beads and 75% of the gold beads. After that, the ratio of the number of pink beads to gold beads Jen had was 4 : 1.

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

	Pink beads	Gold beads	Total
Before	4 u + 44	4 u	8 u + 44
Change	- 44	- 3 u
After	4 u	1 u	5 u
Comparing pink beads and gold beads in the end	4	1	5

(a)
75% = ⁷⁵₁₀₀ = ³₄

Fraction of her gold beads that Jen used = ³₄

(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 = 4 u
Number of pink beads at first = 4 u + 44

Total number of beads at first
= 4 u + 4 u + 44
= 8 u + 44

8 u + 44 = 124
8 u = 124 - 44
8 u = 80

1 u = 80 ÷ 8 = 10

Number of gold beads in the end = 1 u
Number of pink beads in the end = 4 u

Total number of beads in the end
= 4 u + 1 u
= 5 u
= 5 x 10
= 50

Answer(s): (a)³₄; (b) 50