Will, Justin and Dylan bought some puffs. After Will ate ⁵₇ of his puffs, Justin ate ³₄ of his puffs and Dylan ate 3 puffs, each of them had the same number of puffs left. Will had 12 less puffs than Justin at first.

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

	Will	Justin	Dylan
Before	7 u	4x2 = 8 u	2 u + 3
Change	- 5 u	- 3x2 = - 6 u	- 3
After	2 u	1x2 = 2 u	2 u

(a)
The number of puffs that Will and Justin each had in the end is the same. Make the number of puffs that Will and Justin each had in the end the same.  LCM of 2 and 1 is 2.

Number of puffs that Will had less than Justin at first
= 8 u - 7 u
= 1 u

1 u = 12

1 u = 12 ÷ 1 = 12

Number of puffs that Will had at first
= 7 u
= 7 x 12
= 84 

(b)
Total number of puffs that the 3 of them bought
= 7 u + 8 u + 2 u + 3
= 17 u + 3
= 17 x 12 + 3
= 204 + 3
= 207

Answer(s): (a) 84; (b) 207