PSLE
Emily bought some lollipops and gave half of it to Nick. Nick bought some jelly beans and gave half of it to Emily. Emily ate 5 jelly beans and Nick ate 2 lollipops. The ratio of Emily's jelly beans to lollipops became 1 : 6 and the ratio of Nick's jelly beans to lollipops became 1 : 4. How many lollipops did Emily buy?

	Emily		Nick
	Jelly beans	Lollipops	Jelly beans	Lollipops
Before	1 u + 5	6 u	1 p	4 p + 2
Change	- 5			- 2
After	1 u	6 u	1 p	4 p

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

6 u = 4 p + 2 
6 u - 2 = 4 p --- (1)

1 u + 5 = 1 p --- (2)

Make p the same.

(2)_x4
4 u + 20 = 4 p --- (3)

(1) = (3)
6 u - 2 = 4 u + 20 
6 u - 4 u = 20 + 2
2 u = 22

1 u = 22 ÷ 2 = 11

Number of lollipops that Emily bought
= 2 x 6 u
= 12 u
= 12 x 11
= 132

Answer(s): 132