Wesley, Justin and Reggie bought some tarts. After Wesley ate ³₈ of his tarts, Justin ate ⁴₅ of his tarts and Reggie ate 11 tarts, each of them had the same number of tarts left. Wesley had 102 less tarts than Justin at first.

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

	Wesley	Justin	Reggie
Before	8 u	5x5 = 25 u	5 u + 11
Change	- 3 u	- 4x5 = - 20 u	- 11
After	5 u	1x5 = 5 u	5 u

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

Number of tarts that Wesley had less than Justin at first
= 25 u - 8 u
= 17 u

17 u = 102

1 u = 102 ÷ 17 = 6

Number of tarts that Wesley had at first
= 8 u
= 8 x 6
= 48 

(b)
Total number of tarts that the 3 of them bought
= 8 u + 25 u + 5 u + 11
= 38 u + 11
= 38 x 6 + 11
= 228 + 11
= 239

Answer(s): (a) 48; (b) 239