PSLE
Jaslyn bought some candy canes and gave half of it to Bryan. Bryan bought some jelly beans and gave half of it to Jaslyn. Jaslyn ate 4 jelly beans and Bryan ate 19 candy canes. The ratio of Jaslyn's jelly beans to candy canes became 1 : 5 and the ratio of Bryan's jelly beans to candy canes became 1 : 2. How many candy canes did Jaslyn buy?

	Jaslyn		Bryan
	Jelly beans	Candy canes	Jelly beans	Candy canes
Before	1 u + 4	5 u	1 p	2 p + 19
Change	- 4			- 19
After	1 u	5 u	1 p	2 p

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

5 u = 2 p + 19 
5 u - 19 = 2 p --- (1)

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

Make p the same.

(2)_x2
2 u + 8 = 2 p --- (3)

(1) = (3)
5 u - 19 = 2 u + 8 
5 u - 2 u = 8 + 19
3 u = 27

1 u = 27 ÷ 3 = 9

Number of candy canes that Jaslyn bought
= 2 x 5 u
= 10 u
= 10 x 9
= 90

Answer(s): 90