Andy, Ryan and Will bought some macarons. After Andy ate ²₇ of his macarons, Ryan ate ³₄ of his macarons and Will ate 3 macarons, each of them had the same number of macarons left. Andy had 143 less macarons than Ryan at first.

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

	Andy	Ryan	Will
Before	7 u	4x5 = 20 u	5 u + 3
Change	- 2 u	- 3x5 = - 15 u	- 3
After	5 u	1x5 = 5 u	5 u

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

Number of macarons that Andy had less than Ryan at first
= 20 u - 7 u
= 13 u

13 u = 143

1 u = 143 ÷ 13 = 11

Number of macarons that Andy had at first
= 7 u
= 7 x 11
= 77 

(b)
Total number of macarons that the 3 of them bought
= 7 u + 20 u + 5 u + 3
= 32 u + 3
= 32 x 11 + 3
= 352 + 3
= 355

Answer(s): (a) 77; (b) 355