Luke had 75% fewer mini cupcakes than Warren. After Warren gave 165 mini cupcakes to Luke, Luke had ⁴₅ as many mini cupcakes as Warren. How many mini cupcakes did each of them have in the end?

1. Warren
2. Luke

	Luke	Warren	Total
Before	1x9 = 9 u	4x9 = 36 u	5x9 = 45 u
Change	+ 165	- 165
After	4x5 = 20 u	5x5 =  25 u	9x5 = 45 u

Number of mini cupcakes that Luke 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 9 and 5 is 45.

Number of mini cupcakes that Warren gave to Luke
= 36 u - 25 u
= 11 u

11 u = 165

1 u = 165 ÷ 11 = 15

Number of mini cupcakes that Luke had in the end
= 20 u
= 20 x 15
= 300

Number of mini cupcakes that Warren had in the end
= 25 u
= 25 x 15
= 375

Answer(s): (a) 300; (b) 375