Raeann made some cupcakes. She sold ⁴₇ of them in the morning and ²₉ of the remainder in the afternoon. If she sold 100 more cupcakes in the morning than in the afternoon, how many cupcakes did she make altogether?

Morning	Remainder		Total
4x3	3x3		7x3
	Afternoon	Left
	2	7
12 u	2 u	7 u	21 u

Fraction of cupcakes left after selling some in the morning
= 1 - ⁴₇ 
= ³₇

Fraction of cupcakes sold in the afternoon
= ²₉ x ³₇
= ²₂₁

Make the denominators the same.
 ⁴₇ = ¹²₂₁ 

Number of cupcakes that Raeann sold in the morning = 12 u
Number of cupcakes that Raeann sold in the afternoon = 2 u

Number of more cupcakes that Raeann sold in the morning than in the afternoon
= 12 u - 2 u
= 10 u

10 u = 100

1 u = 100 ÷ 10 = 10

Total number of cupcakes that Raeann made
= 21 u
= 21 x 10
= 210

Answer(s): 210