Vaidev, Billy and Daniel bought some puffs. After Vaidev ate ²₇ of his puffs, Billy ate ¹₂ of his puffs and Daniel ate 10 puffs, each of them had the same number of puffs left. Vaidev had 15 less puffs than Billy at first.

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

	Vaidev	Billy	Daniel
Before	7 u	2x5 = 10 u	5 u + 10
Change	- 2 u	- 1x5 = - 5 u	- 10
After	5 u	1x5 = 5 u	5 u

(a)
The number of puffs that Vaidev and Billy each had in the end is the same. Make the number of puffs that Vaidev and Billy each had in the end the same.  LCM of 5 and 1 is 5.

Number of puffs that Vaidev had less than Billy at first
= 10 u - 7 u
= 3 u

3 u = 15

1 u = 15 ÷ 3 = 5

Number of puffs that Vaidev had at first
= 7 u
= 7 x 5
= 35 

(b)
Total number of puffs that the 3 of them bought
= 7 u + 10 u + 5 u + 10
= 22 u + 10
= 22 x 5 + 10
= 110 + 10
= 120

Answer(s): (a) 35; (b) 120