Dana made 51 more cream scones than banana scones. After she gave away ³₇ of the cream scones and ¹₈ of the banana scones, there were an equal number of cream scones and banana scones left. How many cream scones did she give away?

	Cream scones	Banana scones	Difference
Before	7x7 = 49 u	8x4 = 32 u	17 u
Change	- 3x7 = - 21 u	- 1x4 = - 4 u
After	4x7 = 28 u	7x4 = 28 u

Fraction of cream scones left
= 1 - ³₇
= ⁴₇

Fraction of banana scones left
= 1 - ¹₈
= ⁷₈

The number of cream scones and banana scones in the end is the same. Make the numerators the same.  LCM of 7 and 4 is 28.

⁴₇ of cream scones = ⁷₈ of banana scones
²⁸₄₉ of cream scones = ²⁸₃₂ of banana scones

Number of more cream scones than banana scones at first
= 49 u - 32 u
= 17 u

17 u = 51

1 u = 51 ÷ 17 = 3

Number of cream scones that Dana gave away
= 49 u - 28 u
= 21 u
= 21 x 3
= 63

Answer(s): 63