Charlie had 75% fewer mini cupcakes than Archie. After Archie gave 392 mini cupcakes to Charlie, Charlie had ⁵₆ as many mini cupcakes as Archie. How many mini cupcakes did each of them have in the end?

1. Archie
2. Charlie

	Charlie	Archie	Total
Before	1x11 = 11 u	4x11 = 44 u	5x11 = 55 u
Change	+ 392	- 392
After	5x5 = 25 u	6x5 =  30 u	11x5 = 55 u

Number of mini cupcakes that Charlie 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 11 and 5 is 55.

Number of mini cupcakes that Archie gave to Charlie
= 44 u - 30 u
= 14 u

14 u = 392

1 u = 392 ÷ 14 = 28

Number of mini cupcakes that Charlie had in the end
= 25 u
= 25 x 28
= 700

Number of mini cupcakes that Archie had in the end
= 30 u
= 30 x 28
= 840

Answer(s): (a) 700; (b) 840