PSLE
Nora bought some lollipops and gave half of it to Fabian. Fabian bought some jelly beans and gave half of it to Nora. Nora ate 10 jelly beans and Fabian ate 20 lollipops. The ratio of Nora's jelly beans to lollipops became 1 : 6 and the ratio of Fabian's jelly beans to lollipops became 1 : 2. How many lollipops did Nora buy?

	Nora		Fabian
	Jelly beans	Lollipops	Jelly beans	Lollipops
Before	1 u + 10	6 u	1 p	2 p + 20
Change	- 10			- 20
After	1 u	6 u	1 p	2 p

After Nora gave half of the lollipops to Fabian and Fabian gave half of his jelly beans to Nora, Fabian and Nora had same number of jelly beans and lollipops before each ate some.

6 u = 2 p + 20 
6 u - 20 = 2 p --- (1)

1 u + 10 = 1 p --- (2)

Make p the same.

(2)_x2
2 u + 20 = 2 p --- (3)

(1) = (3)
6 u - 20 = 2 u + 20 
6 u - 2 u = 20 + 20
4 u = 40

1 u = 40 ÷ 4 = 10

Number of lollipops that Nora bought
= 2 x 6 u
= 12 u
= 12 x 10
= 120

Answer(s): 120