Kylie made 117 more strawberry macarons than mocca macarons. After she gave away ⁴₇ of the strawberry macarons and ¹₅ of the mocca macarons, there were an equal number of strawberry macarons and mocca macarons left. How many strawberry macarons did she give away?

	Strawberry macarons	Mocca macarons	Difference
Before	7x4 = 28 u	5x3 = 15 u	13 u
Change	- 4x4 = - 16 u	- 1x3 = - 3 u
After	3x4 = 12 u	4x3 = 12 u

Fraction of strawberry macarons left
= 1 - ⁴₇
= ³₇

Fraction of mocca macarons left
= 1 - ¹₅
= ⁴₅

The number of strawberry macarons and mocca macarons in the end is the same. Make the numerators the same.  LCM of 4 and 3 is 12.

³₇ of strawberry macarons = ⁴₅ of mocca macarons
¹²₂₈ of strawberry macarons = ¹²₁₅ of mocca macarons

Number of more strawberry macarons than mocca macarons at first
= 28 u - 15 u
= 13 u

13 u = 117

1 u = 117 ÷ 13 = 9

Number of strawberry macarons that Kylie gave away
= 28 u - 12 u
= 16 u
= 16 x 9
= 144

Answer(s): 144