Natalie made some macarons. She sold ⁴₅ of them in the afternoon and ³₅ of the remainder in the evening. If she sold 85 more macarons in the afternoon than in the evening, how many macarons did she make altogether?

Afternoon	Remainder		Total
4x5	1x5		5x5
	Evening	Left
	3	2
20 u	3 u	2 u	25 u

Fraction of macarons left after selling some in the afternoon
= 1 - ⁴₅ 
= ¹₅

Fraction of macarons sold in the evening
= ³₅ x ¹₅
= ³₂₅

Make the denominators the same.
 ⁴₅ = ²⁰₂₅ 

Number of macarons that Natalie sold in the afternoon = 20 u
Number of macarons that Natalie sold in the evening = 3 u

Number of more macarons that Natalie sold in the afternoon than in the evening
= 20 u - 3 u
= 17 u

17 u = 85

1 u = 85 ÷ 17 = 5

Total number of macarons that Natalie made
= 25 u
= 25 x 5
= 125

Answer(s): 125