Jack had 60% fewer mini cupcakes than Valen. After Valen gave 304 mini cupcakes to Jack, Jack had ²₃ as many mini cupcakes as Valen. How many mini cupcakes did each of them have in the end?

1. Valen
2. Jack

	Jack	Valen	Total
Before	2x5 = 10 u	5x5 = 25 u	7x5 = 35 u
Change	+ 304	- 304
After	2x7 = 14 u	3x7 =  21 u	5x7 = 35 u

Number of mini cupcakes that Jack had at first in percentage
= 100% - 60%
= 40%

40% = ⁴⁰₁₀₀ = ²₅

The total number of mini cupcakes at first and in the end remains unchanged. Make the total number of mini cupcakes the same. LCM of 5 and 7 is 35.

Number of mini cupcakes that Valen gave to Jack
= 25 u - 21 u
= 4 u

4 u = 304

1 u = 304 ÷ 4 = 76

Number of mini cupcakes that Jack had in the end
= 14 u
= 14 x 76
= 1064

Number of mini cupcakes that Valen had in the end
= 21 u
= 21 x 76
= 1596

Answer(s): (a) 1064; (b) 1596