In January, Mary and Japheth had stickers in the ratio 11 : 6. In February, each of them gave away the same number of stickers. Mary then had five times as many stickers as Japheth.

1. Find the ratio of the number of stickers Japheth had in January to the number of stickers he had in February.
2. Find the ratio of the total number of stickers both had in January to the total number of stickers both had in February.

	Mary	Japheth	Difference
Before	11x4 = 44 u	6x4 = 24 u	5x4 = 20 u
Change	- 19 u	- 19 u
After	5x5 = 25 u	1x5 = 5 u	4x5 = 20 u

(a)
Since Mary and Japheth gave away the same number of stickers, the difference in the number of stickers between Mary and Japheth at first and in the end remains the same.

Make the difference in the number of stickers at first and in the end the same. LCM of 5 and 4 is 20.

Japheth's stickers in January : Japheth's stickers in February
24 : 5

(b)
Total number of stickers in January
= 44 u + 24 u
= 68 u

Total number of stickers in February
= 25 u + 5 u
= 30 u

Total stickers in January : Total stickers in February
68 : 30 _(÷2)
34 : 15 

Answer(s): (a) 24 : 5; (b) 34 : 15