Risa made 165 more strawberry scones than cheese scones. After she gave away ⁵₇ of the strawberry scones and ¹₈ of the cheese scones, there were an equal number of strawberry scones and cheese scones left. How many strawberry scones did she give away?

	Strawberry scones	Cheese scones	Difference
Before	7x7 = 49 u	8x2 = 16 u	33 u
Change	- 5x7 = - 35 u	- 1x2 = - 2 u
After	2x7 = 14 u	7x2 = 14 u

Fraction of strawberry scones left
= 1 - ⁵₇
= ²₇

Fraction of cheese scones left
= 1 - ¹₈
= ⁷₈

The number of strawberry scones and cheese scones in the end is the same. Make the numerators the same.  LCM of 7 and 2 is 14.

²₇ of strawberry scones = ⁷₈ of cheese scones
¹⁴₄₉ of strawberry scones = ¹⁴₁₆ of cheese scones

Number of more strawberry scones than cheese scones at first
= 49 u - 16 u
= 33 u

33 u = 165

1 u = 165 ÷ 33 = 5

Number of strawberry scones that Risa gave away
= 49 u - 14 u
= 35 u
= 35 x 5
= 175

Answer(s): 175