Usha made 170 more banana macarons than blueberry macarons. After she gave away ³₇ of the banana macarons and ¹₈ of the blueberry macarons, there were an equal number of banana macarons and blueberry macarons left. How many banana macarons did she give away?

	Banana macarons	Blueberry macarons	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 banana macarons left
= 1 - ³₇
= ⁴₇

Fraction of blueberry macarons left
= 1 - ¹₈
= ⁷₈

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

⁴₇ of banana macarons = ⁷₈ of blueberry macarons
²⁸₄₉ of banana macarons = ²⁸₃₂ of blueberry macarons

Number of more banana macarons than blueberry macarons at first
= 49 u - 32 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Number of banana macarons that Usha gave away
= 49 u - 28 u
= 21 u
= 21 x 10
= 210

Answer(s): 210