Henry, Will and Flynn bought some muffins. After Henry ate ⁴₇ of his muffins, Will ate ³₄ of his muffins and Flynn ate 11 muffins, each of them had the same number of muffins left. Henry had 20 less muffins than Will at first.

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

	Henry	Will	Flynn
Before	7 u	4x3 = 12 u	3 u + 11
Change	- 4 u	- 3x3 = - 9 u	- 11
After	3 u	1x3 = 3 u	3 u

(a)
The number of muffins that Henry and Will each had in the end is the same. Make the number of muffins that Henry and Will each had in the end the same.  LCM of 3 and 1 is 3.

Number of muffins that Henry had less than Will at first
= 12 u - 7 u
= 5 u

5 u = 20

1 u = 20 ÷ 5 = 4

Number of muffins that Henry had at first
= 7 u
= 7 x 4
= 28 

(b)
Total number of muffins that the 3 of them bought
= 7 u + 12 u + 3 u + 11
= 22 u + 11
= 22 x 4 + 11
= 88 + 11
= 99

Answer(s): (a) 28; (b) 99