PSLE
Shannon bought some candy canes and gave half of it to Lee. Lee bought some jelly beans and gave half of it to Shannon. Shannon ate 7 jelly beans and Lee ate 22 candy canes. The ratio of Shannon's jelly beans to candy canes became 1 : 6 and the ratio of Lee's jelly beans to candy canes became 1 : 2. How many jelly beans did Lee buy?

	Shannon		Lee
	Jelly beans	Candy canes	Jelly beans	Candy canes
Before	1 u + 7	6 u	1 p	2 p + 22
Change	- 7			- 22
After	1 u	6 u	1 p	2 p

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

6 u = 2 p + 22 
6 u - 22 = 2 p --- (1)

1 u + 7 = 1 p --- (2)

Make p the same.

(2)_x2
2 u + 14 = 2 p --- (3)

(1) = (3)
6 u - 22 = 2 u + 14 
6 u - 2 u = 14 + 22
4 u = 36

1 u = 36 ÷ 4 = 9

1 p
= 1 u + 7
= 9 + 7
= 16

Number of jelly beans that Lee bought
= 2 p
= 2 x 16
= 32

Answer(s): 32