PSLE
Jade bought some candy canes and gave half of it to Jeremy. Jeremy bought some sweets and gave half of it to Jade. Jade ate 5 sweets and Jeremy ate 12 candy canes. The ratio of Jade's sweets to candy canes became 1 : 4 and the ratio of Jeremy's sweets to candy canes became 1 : 2. How many sweets did Jeremy buy?

	Jade		Jeremy
	Sweets	Candy canes	Sweets	Candy canes
Before	1 u + 5	4 u	1 p	2 p + 12
Change	- 5			- 12
After	1 u	4 u	1 p	2 p

After Jade gave half of the candy canes to Jeremy and Jeremy gave half of his sweets to Jade, Jeremy and Jade had same number of sweets and candy canes before each ate some.

4 u = 2 p + 12 
4 u - 12 = 2 p --- (1)

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

Make p the same.

(2)_x2
2 u + 10 = 2 p --- (3)

(1) = (3)
4 u - 12 = 2 u + 10 
4 u - 2 u = 10 + 12
2 u = 22

1 u = 22 ÷ 2 = 11

1 p
= 1 u + 5
= 11 + 5
= 16

Number of sweets that Jeremy bought
= 2 p
= 2 x 16
= 32

Answer(s): 32