PSLE
Fanny had a total of 85 purple and pink beads. She used 19 purple beads and 25% of the pink beads. After that, the ratio of the number of purple beads to pink beads Fanny had was 7 : 3.

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

	Purple	Pink	Total
Before	7 u + 19	4 u	11 u + 19
Change	- 19	- 1 u
After	7 u	3 u	10 u
Comparing purple beads and pink beads in the end	7	3	10

(a)
25% = ²⁵₁₀₀ = ¹₄

Fraction of her pink beads that Fanny used = ¹₄

Fraction of her pink beads that Fanny was left with
= 1 - ¹₄
= 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 purple beads at first = 7 u + 19

Total number of beads at first
= 4 u + 7 u + 19
= 11 u + 19

11 u + 19 = 85
11 u = 85 - 19
11 u = 66

1 u = 66 ÷ 11 = 6

Number of pink beads in the end = 3 u
Number of purple beads in the end = 7 u

Number of more purple beads than pink beads that Fanny had in the end
= 7 u - 3 u
= 4 u
= 4 x 6
= 24

Answer(s): (a)³₄; (b) 24