Jen made some shortbreads. She sold ⁴₅ of them in the afternoon and ⁴₉ of the remainder in the evening. If she sold 160 more shortbreads in the afternoon than in the evening, how many shortbreads did she make altogether?

Afternoon	Remainder		Total
4x9	1x9		5x9
	Evening	Left
	4	5
36 u	4 u	5 u	45 u

Fraction of shortbreads left after selling some in the afternoon
= 1 - ⁴₅ 
= ¹₅

Fraction of shortbreads sold in the evening
= ⁴₉ x ¹₅
= ⁴₄₅

Make the denominators the same.
 ⁴₅ = ³⁶₄₅ 

Number of shortbreads that Jen sold in the afternoon = 36 u
Number of shortbreads that Jen sold in the evening = 4 u

Number of more shortbreads that Jen sold in the afternoon than in the evening
= 36 u - 4 u
= 32 u

32 u = 160

1 u = 160 ÷ 32 = 5

Total number of shortbreads that Jen made
= 45 u
= 45 x 5
= 225

Answer(s): 225