Olivia made 136 more strawberry shortbreads than mocca shortbreads. After she gave away ³₇ of the strawberry shortbreads and ¹₈ of the mocca shortbreads, there were an equal number of strawberry shortbreads and mocca shortbreads left. How many strawberry shortbreads did she give away?

	Strawberry shortbreads	Mocca shortbreads	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 strawberry shortbreads left
= 1 - ³₇
= ⁴₇

Fraction of mocca shortbreads left
= 1 - ¹₈
= ⁷₈

The number of strawberry shortbreads and mocca shortbreads in the end is the same. Make the numerators the same.  LCM of 7 and 4 is 28.

⁴₇ of strawberry shortbreads = ⁷₈ of mocca shortbreads
²⁸₄₉ of strawberry shortbreads = ²⁸₃₂ of mocca shortbreads

Number of more strawberry shortbreads than mocca shortbreads at first
= 49 u - 32 u
= 17 u

17 u = 136

1 u = 136 ÷ 17 = 8

Number of strawberry shortbreads that Olivia gave away
= 49 u - 28 u
= 21 u
= 21 x 8
= 168

Answer(s): 168