Fiona made some shortbreads. She sold ³₄ of them in the afternoon and ³₇ of the remainder in the evening. If she sold 72 more shortbreads in the afternoon than in the evening, how many shortbreads did she make altogether?

Afternoon	Remainder		Total
3x7	1x7		4x7
	Evening	Left
	3	4
21 u	3 u	4 u	28 u

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

Fraction of shortbreads sold in the evening
= ³₇ x ¹₄
= ³₂₈

Make the denominators the same.
 ³₄ = ²¹₂₈ 

Number of shortbreads that Fiona sold in the afternoon = 21 u
Number of shortbreads that Fiona sold in the evening = 3 u

Number of more shortbreads that Fiona sold in the afternoon than in the evening
= 21 u - 3 u
= 18 u

18 u = 72

1 u = 72 ÷ 18 = 4

Total number of shortbreads that Fiona made
= 28 u
= 28 x 4
= 112

Answer(s): 112