PSLE
Shannon bought some jelly beans and gave half of it to Julian. Julian bought some candy canes and gave half of it to Shannon. Shannon ate 5 candy canes and Julian ate 4 jelly beans. The ratio of Shannon's candy canes to jelly beans became 1 : 6 and the ratio of Julian's candy canes to jelly beans became 1 : 4. How many candy canes did Julian buy?

	Shannon		Julian
	Candy canes	Jelly beans	Candy canes	Jelly beans
Before	1 u + 5	6 u	1 p	4 p + 4
Change	- 5			- 4
After	1 u	6 u	1 p	4 p

After Shannon gave half of the jelly beans to Julian and Julian gave half of his candy canes to Shannon, Julian and Shannon had same number of candy canes and jelly beans before each ate some.

6 u = 4 p + 4 
6 u - 4 = 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 - 4 = 4 u + 20 
6 u - 4 u = 20 + 4
2 u = 24

1 u = 24 ÷ 2 = 12

1 p
= 1 u + 5
= 12 + 5
= 17

Number of candy canes that Julian bought
= 2 p
= 2 x 17
= 34

Answer(s): 34