Elijah had 65% fewer mini cupcakes than Liam. After Liam gave 266 mini cupcakes to Elijah, Elijah had ²₃ as many mini cupcakes as Liam. How many mini cupcakes did each of them have in the end?

1. Liam
2. Elijah

	Elijah	Liam	Total
Before	7x5 = 35 u	20x5 = 100 u	27x5 = 135 u
Change	+ 266	- 266
After	2x27 = 54 u	3x27 =  81 u	5x27 = 135 u

Number of mini cupcakes that Elijah had at first in percentage
= 100% - 65%
= 35%

35% = ³⁵₁₀₀ = ⁷₂₀

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 27 is 135.

Number of mini cupcakes that Liam gave to Elijah
= 100 u - 81 u
= 19 u

19 u = 266

1 u = 266 ÷ 19 = 14

Number of mini cupcakes that Elijah had in the end
= 54 u
= 54 x 14
= 756

Number of mini cupcakes that Liam had in the end
= 81 u
= 81 x 14
= 1134

Answer(s): (a) 756; (b) 1134