Emma made 36 more coffee puffs than banana puffs. After she gave away ²₇ of the coffee puffs and ¹₈ of the banana puffs, there were an equal number of coffee puffs and banana puffs left. How many coffee puffs did she give away?

	Coffee puffs	Banana puffs	Difference
Before	7x7 = 49 u	8x5 = 40 u	9 u
Change	- 2x7 = - 14 u	- 1x5 = - 5 u
After	5x7 = 35 u	7x5 = 35 u

Fraction of coffee puffs left
= 1 - ²₇
= ⁵₇

Fraction of banana puffs left
= 1 - ¹₈
= ⁷₈

The number of coffee puffs and banana puffs in the end is the same. Make the numerators the same.  LCM of 7 and 5 is 35.

⁵₇ of coffee puffs = ⁷₈ of banana puffs
³⁵₄₉ of coffee puffs = ³⁵₄₀ of banana puffs

Number of more coffee puffs than banana puffs at first
= 49 u - 40 u
= 9 u

9 u = 36

1 u = 36 ÷ 9 = 4

Number of coffee puffs that Emma gave away
= 49 u - 35 u
= 14 u
= 14 x 4
= 56

Answer(s): 56