Jeremy had 75% fewer mini cupcakes than Vincent. After Vincent gave 310 mini cupcakes to Jeremy, Jeremy had ²₃ as many mini cupcakes as Vincent. How many mini cupcakes did each of them have in the end?

1. Vincent
2. Jeremy

	Jeremy	Vincent	Total
Before	1x5 = 5 u	4x5 = 20 u	5x5 = 25 u
Change	+ 310	- 310
After	2x5 = 10 u	3x5 =  15 u	5x5 = 25 u

Number of mini cupcakes that Jeremy had at first in percentage
= 100% - 75%
= 25%

25% = ²⁵₁₀₀ = ¹₄

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 5 is 25.

Number of mini cupcakes that Vincent gave to Jeremy
= 20 u - 15 u
= 5 u

5 u = 310

1 u = 310 ÷ 5 = 62

Number of mini cupcakes that Jeremy had in the end
= 10 u
= 10 x 62
= 620

Number of mini cupcakes that Vincent had in the end
= 15 u
= 15 x 62
= 930

Answer(s): (a) 620; (b) 930