Marion made some cupcakes. She sold ³₄ of them in the afternoon and ⁵₆ of the remainder in the evening. If she sold 91 more cupcakes in the afternoon than in the evening, how many cupcakes did she make altogether?

Afternoon	Remainder		Total
3x6	1x6		4x6
	Evening	Left
	5	1
18 u	5 u	1 u	24 u

Fraction of cupcakes left after selling some in the afternoon
= 1 - ³₄ 
= ¹₄

Fraction of cupcakes sold in the evening
= ⁵₆ x ¹₄
= ⁵₂₄

Make the denominators the same.
 ³₄ = ¹⁸₂₄ 

Number of cupcakes that Marion sold in the afternoon = 18 u
Number of cupcakes that Marion sold in the evening = 5 u

Number of more cupcakes that Marion sold in the afternoon than in the evening
= 18 u - 5 u
= 13 u

13 u = 91

1 u = 91 ÷ 13 = 7

Total number of cupcakes that Marion made
= 24 u
= 24 x 7
= 168

Answer(s): 168