Esther baked 120 puffs. ⁵₈ of the puffs were butter cream puffs. The rest were mango puffs. She gave an equal number of butter cream puffs and mango puffs away and had 4 times as many butter cream puffs as mango puffs left. How many puffs did she give away?

	Butter cream puffs	Mango puffs	Difference
Before	5x3 = 15 u	3x3 = 9 u	2x3 = 6 u
Change	- 7 u	- 7 u
After	4x2 = 8 u	1x2 = 2 u	3x2 = 6 u

Since Esther gave away an equal number of butter cream puffs and mango puffs, the difference in the number of butter cream puffs and mango puffs remains unchanged.  Make the difference in the butter cream puffs and mango puffs the same.  LCM of 2 and 3 is 6.

Total number of puffs at first
= 15 u + 9 u
= 24 u

24 u = 120

1 u = 120 ÷ 24 = 5

Number of puffs that Esther gave away
= 7 u + 7 u
= 14 u
= 14 x 5 
= 70

Answer(s): 70