Owen, Seth and George bought some shortbreads. After Owen ate ⁵₇ of his shortbreads, Seth ate ⁴₅ of his shortbreads and George ate 2 shortbreads, each of them had the same number of shortbreads left. Owen had 30 less shortbreads than Seth at first.

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

	Owen	Seth	George
Before	7 u	5x2 = 10 u	2 u + 2
Change	- 5 u	- 4x2 = - 8 u	- 2
After	2 u	1x2 = 2 u	2 u

(a)
The number of shortbreads that Owen and Seth each had in the end is the same. Make the number of shortbreads that Owen and Seth each had in the end the same.  LCM of 2 and 1 is 2.

Number of shortbreads that Owen had less than Seth at first
= 10 u - 7 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Number of shortbreads that Owen had at first
= 7 u
= 7 x 10
= 70 

(b)
Total number of shortbreads that the 3 of them bought
= 7 u + 10 u + 2 u + 2
= 19 u + 2
= 19 x 10 + 2
= 190 + 2
= 192

Answer(s): (a) 70; (b) 192