Linda made 200 more coffee croissants than banana croissants. After she gave away ⁴₇ of the coffee croissants and ¹₈ of the banana croissants, there were an equal number of coffee croissants and banana croissants left. How many coffee croissants did she give away?

	Coffee croissants	Banana croissants	Difference
Before	7x7 = 49 u	8x3 = 24 u	25 u
Change	- 4x7 = - 28 u	- 1x3 = - 3 u
After	3x7 = 21 u	7x3 = 21 u

Fraction of coffee croissants left
= 1 - ⁴₇
= ³₇

Fraction of banana croissants left
= 1 - ¹₈
= ⁷₈

The number of coffee croissants and banana croissants in the end is the same. Make the numerators the same.  LCM of 7 and 3 is 21.

³₇ of coffee croissants = ⁷₈ of banana croissants
²¹₄₉ of coffee croissants = ²¹₂₄ of banana croissants

Number of more coffee croissants than banana croissants at first
= 49 u - 24 u
= 25 u

25 u = 200

1 u = 200 ÷ 25 = 8

Number of coffee croissants that Linda gave away
= 49 u - 21 u
= 28 u
= 28 x 8
= 224

Answer(s): 224