Dana made 66 more strawberry puffs than banana puffs. After she gave away ³₇ of the strawberry puffs and ¹₆ of the banana puffs, there were an equal number of strawberry puffs and banana puffs left. How many strawberry puffs did she give away?

	Strawberry puffs	Banana puffs	Difference
Before	7x5 = 35 u	6x4 = 24 u	11 u
Change	- 3x5 = - 15 u	- 1x4 = - 4 u
After	4x5 = 20 u	5x4 = 20 u

Fraction of strawberry puffs left
= 1 - ³₇
= ⁴₇

Fraction of banana puffs left
= 1 - ¹₆
= ⁵₆

The number of strawberry puffs and banana puffs in the end is the same. Make the numerators the same.  LCM of 5 and 4 is 20.

⁴₇ of strawberry puffs = ⁵₆ of banana puffs
²⁰₃₅ of strawberry puffs = ²⁰₂₄ of banana puffs

Number of more strawberry puffs than banana puffs at first
= 35 u - 24 u
= 11 u

11 u = 66

1 u = 66 ÷ 11 = 6

Number of strawberry puffs that Dana gave away
= 35 u - 20 u
= 15 u
= 15 x 6
= 90

Answer(s): 90