Zoe made some shortbreads. She sold ³₈ of them in the afternoon and ³₁₀ of the remainder in the evening. If she sold 30 more shortbreads in the afternoon than in the evening, how many shortbreads did she make altogether?

Afternoon	Remainder		Total
3x2	5x2		8x2
	Evening	Left
	3	7
6 u	3 u	7 u	16 u

Fraction of shortbreads left after selling some in the afternoon
= 1 - ³₈ 
= ⁵₈

Fraction of shortbreads sold in the evening
= ³₁₀ x ⁵₈
= ³₁₆

Make the denominators the same.
 ³₈ = ⁶₁₆ 

Number of shortbreads that Zoe sold in the afternoon = 6 u
Number of shortbreads that Zoe sold in the evening = 3 u

Number of more shortbreads that Zoe sold in the afternoon than in the evening
= 6 u - 3 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Total number of shortbreads that Zoe made
= 16 u
= 16 x 10
= 160

Answer(s): 160