PSLE
Wendy had a total of 111 orange and gold beads. She used 27 orange beads and 60% of the gold beads. After that, the ratio of the number of orange beads to gold beads Wendy had was 9 : 2.

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

	Orange	Gold	Total
Before	9 u + 27	5 u	14 u + 27
Change	- 27	- 3 u
After	9 u	2 u	11 u
Comparing orange beads and gold beads in the end	9	2	11

(a)
60% = ⁶⁰₁₀₀ = ³₅

Fraction of her gold beads that Wendy used = ³₅

Fraction of her gold beads that Wendy was left with
= 1 - ³₅
= ²₅

(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 = 5 u
Number of orange beads at first = 9 u + 27

Total number of beads at first
= 5 u + 9 u + 27
= 14 u + 27

14 u + 27 = 111
14 u = 111 - 27
14 u = 84

1 u = 84 ÷ 14 = 6

Number of gold beads in the end = 2 u
Number of orange beads in the end = 9 u

Number of more orange beads than gold beads that Wendy had in the end
= 9 u - 2 u
= 7 u
= 7 x 6
= 42

Answer(s): (a)²₅; (b) 42