Penelope made some biscuits. She sold ²₃ of them in the morning and ²₇ of the remainder in the afternoon. If she sold 24 more biscuits in the morning than in the afternoon, how many biscuits did she make altogether?

Morning	Remainder		Total
2x7	1x7		3x7
	Afternoon	Left
	2	5
14 u	2 u	5 u	21 u

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

Fraction of biscuits sold in the afternoon
= ²₇ x ¹₃
= ²₂₁

Make the denominators the same.
 ²₃ = ¹⁴₂₁ 

Number of biscuits that Penelope sold in the morning = 14 u
Number of biscuits that Penelope sold in the afternoon = 2 u

Number of more biscuits that Penelope sold in the morning than in the afternoon
= 14 u - 2 u
= 12 u

12 u = 24

1 u = 24 ÷ 12 = 2

Total number of biscuits that Penelope made
= 21 u
= 21 x 2
= 42

Answer(s): 42