Caden had 60% fewer mini cupcakes than Ryan. After Ryan gave 390 mini cupcakes to Caden, Caden had ⁴₅ as many mini cupcakes as Ryan. How many mini cupcakes did each of them have in the end?

1. Ryan
2. Caden

	Caden	Ryan	Total
Before	2x9 = 18 u	5x9 = 45 u	7x9 = 63 u
Change	+ 390	- 390
After	4x7 = 28 u	5x7 =  35 u	9x7 = 63 u

Number of mini cupcakes that Caden 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 9 and 7 is 63.

Number of mini cupcakes that Ryan gave to Caden
= 45 u - 35 u
= 10 u

10 u = 390

1 u = 390 ÷ 10 = 39

Number of mini cupcakes that Caden had in the end
= 28 u
= 28 x 39
= 1092

Number of mini cupcakes that Ryan had in the end
= 35 u
= 35 x 39
= 1365

Answer(s): (a) 1092; (b) 1365