Raeann made some cupcakes. She sold ³₅ of them in the afternoon and ³₄ of the remainder in the evening. If she sold 36 more cupcakes in the afternoon than in the evening, how many cupcakes did she make altogether?

Afternoon	Remainder		Total
3x2	2x2		5x2
	Evening	Left
	3	1
6 u	3 u	1 u	10 u

Fraction of cupcakes left after selling some in the afternoon
= 1 - ³₅ 
= ²₅

Fraction of cupcakes sold in the evening
= ³₄ x ²₅
= ³₁₀

Make the denominators the same.
 ³₅ = ⁶₁₀ 

Number of cupcakes that Raeann sold in the afternoon = 6 u
Number of cupcakes that Raeann sold in the evening = 3 u

Number of more cupcakes that Raeann sold in the afternoon than in the evening
= 6 u - 3 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total number of cupcakes that Raeann made
= 10 u
= 10 x 12
= 120

Answer(s): 120