Julian, Tim and Elijah bought some puffs. After Julian ate ²₅ of his puffs, Tim ate ²₃ of his puffs and Elijah ate 3 puffs, each of them had the same number of puffs left. Julian had 40 less puffs than Tim at first.

1. How many puffs did Julian have at first?
2. How many puffs did the 3 of them buy altogether? 

	Julian	Tim	Elijah
Before	5 u	3x3 = 9 u	3 u + 3
Change	- 2 u	- 2x3 = - 6 u	- 3
After	3 u	1x3 = 3 u	3 u

(a)
The number of puffs that Julian and Tim each had in the end is the same. Make the number of puffs that Julian and Tim each had in the end the same.  LCM of 3 and 1 is 3.

Number of puffs that Julian had less than Tim at first
= 9 u - 5 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of puffs that Julian had at first
= 5 u
= 5 x 10
= 50 

(b)
Total number of puffs that the 3 of them bought
= 5 u + 9 u + 3 u + 3
= 17 u + 3
= 17 x 10 + 3
= 170 + 3
= 173

Answer(s): (a) 50; (b) 173