Roshel made some biscuits. She sold ²₃ of them in the morning and ²₉ of the remainder in the afternoon. If she sold 160 more biscuits in the morning than in the afternoon, how many biscuits did she make altogether?

Morning	Remainder		Total
2x9	1x9		3x9
	Afternoon	Left
	2	7
18 u	2 u	7 u	27 u

Fraction of biscuits left after selling some in the morning
= 1 - ²₃ 
= ¹₃

Fraction of biscuits sold in the afternoon
= ²₉ x ¹₃
= ²₂₇

Make the denominators the same.
 ²₃ = ¹⁸₂₇ 

Number of biscuits that Roshel sold in the morning = 18 u
Number of biscuits that Roshel sold in the afternoon = 2 u

Number of more biscuits that Roshel sold in the morning than in the afternoon
= 18 u - 2 u
= 16 u

16 u = 160

1 u = 160 ÷ 16 = 10

Total number of biscuits that Roshel made
= 27 u
= 27 x 10
= 270

Answer(s): 270