PSLE
Wendy bought some candy canes and gave half of it to Bryan. Bryan bought some sweets and gave half of it to Wendy. Wendy ate 8 sweets and Bryan ate 20 candy canes. The ratio of Wendy's sweets to candy canes became 1 : 6 and the ratio of Bryan's sweets to candy canes became 1 : 2. How many sweets did Bryan buy?

	Wendy		Bryan
	Sweets	Candy canes	Sweets	Candy canes
Before	1 u + 8	6 u	1 p	2 p + 20
Change	- 8			- 20
After	1 u	6 u	1 p	2 p

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

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

1 u + 8 = 1 p --- (2)

Make p the same.

(2)_x2
2 u + 16 = 2 p --- (3)

(1) = (3)
6 u - 20 = 2 u + 16 
6 u - 2 u = 16 + 20
4 u = 36

1 u = 36 ÷ 4 = 9

1 p
= 1 u + 8
= 9 + 8
= 17

Number of sweets that Bryan bought
= 2 p
= 2 x 17
= 34

Answer(s): 34