Tommy, Perry and Tom bought some tarts. After Tommy ate ²₅ of his tarts, Perry ate ⁴₅ of his tarts and Tom ate 12 tarts, each of them had the same number of tarts left. Tommy had 90 less tarts than Perry at first.

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

	Tommy	Perry	Tom
Before	5 u	5x3 = 15 u	3 u + 12
Change	- 2 u	- 4x3 = - 12 u	- 12
After	3 u	1x3 = 3 u	3 u

(a)
The number of tarts that Tommy and Perry each had in the end is the same. Make the number of tarts that Tommy and Perry each had in the end the same.  LCM of 3 and 1 is 3.

Number of tarts that Tommy had less than Perry at first
= 15 u - 5 u
= 10 u

10 u = 90

1 u = 90 ÷ 10 = 9

Number of tarts that Tommy had at first
= 5 u
= 5 x 9
= 45 

(b)
Total number of tarts that the 3 of them bought
= 5 u + 15 u + 3 u + 12
= 23 u + 12
= 23 x 9 + 12
= 207 + 12
= 219

Answer(s): (a) 45; (b) 219