Erika made 34 more cheese puffs than apple puffs. After she gave away ⁴₇ of the cheese puffs and ¹₆ of the apple puffs, there were an equal number of cheese puffs and apple puffs left. How many cheese puffs did she give away?

	Cheese puffs	Apple puffs	Difference
Before	7x5 = 35 u	6x3 = 18 u	17 u
Change	- 4x5 = - 20 u	- 1x3 = - 3 u
After	3x5 = 15 u	5x3 = 15 u

Fraction of cheese puffs left
= 1 - ⁴₇
= ³₇

Fraction of apple puffs left
= 1 - ¹₆
= ⁵₆

The number of cheese puffs and apple puffs in the end is the same. Make the numerators the same.  LCM of 5 and 3 is 15.

³₇ of cheese puffs = ⁵₆ of apple puffs
¹⁵₃₅ of cheese puffs = ¹⁵₁₈ of apple puffs

Number of more cheese puffs than apple puffs at first
= 35 u - 18 u
= 17 u

17 u = 34

1 u = 34 ÷ 17 = 2

Number of cheese puffs that Erika gave away
= 35 u - 15 u
= 20 u
= 20 x 2
= 40

Answer(s): 40