Kathy made some shortbreads. She sold ²₅ of them in the afternoon and ²₉ of the remainder in the evening. If she sold 8 more shortbreads in the afternoon than in the evening, how many shortbreads did she make altogether?

Afternoon	Remainder		Total
2x3	3x3		5x3
	Evening	Left
	2	7
6 u	2 u	7 u	15 u

Fraction of shortbreads left after selling some in the afternoon
= 1 - ²₅ 
= ³₅

Fraction of shortbreads sold in the evening
= ²₉ x ³₅
= ²₁₅

Make the denominators the same.
 ²₅ = ⁶₁₅ 

Number of shortbreads that Kathy sold in the afternoon = 6 u
Number of shortbreads that Kathy sold in the evening = 2 u

Number of more shortbreads that Kathy sold in the afternoon than in the evening
= 6 u - 2 u
= 4 u

4 u = 8

1 u = 8 ÷ 4 = 2

Total number of shortbreads that Kathy made
= 15 u
= 15 x 2
= 30

Answer(s): 30