Wesley, Ryan and Michael bought some tarts. After Wesley ate ³₈ of his tarts, Ryan ate ¹₂ of his tarts and Michael ate 6 tarts, each of them had the same number of tarts left. Wesley had 22 less tarts than Ryan at first.

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

	Wesley	Ryan	Michael
Before	8 u	2x5 = 10 u	5 u + 6
Change	- 3 u	- 1x5 = - 5 u	- 6
After	5 u	1x5 = 5 u	5 u

(a)
The number of tarts that Wesley and Ryan each had in the end is the same. Make the number of tarts that Wesley and Ryan each had in the end the same.  LCM of 5 and 1 is 5.

Number of tarts that Wesley had less than Ryan at first
= 10 u - 8 u
= 2 u

2 u = 22

1 u = 22 ÷ 2 = 11

Number of tarts that Wesley had at first
= 8 u
= 8 x 11
= 88 

(b)
Total number of tarts that the 3 of them bought
= 8 u + 10 u + 5 u + 6
= 23 u + 6
= 23 x 11 + 6
= 253 + 6
= 259

Answer(s): (a) 88; (b) 259