Dylan had 65% fewer mini cupcakes than Tim. After Tim gave 232 mini cupcakes to Dylan, Dylan had ⁵₆ as many mini cupcakes as Tim. How many mini cupcakes did each of them have in the end?

1. Tim
2. Dylan

	Dylan	Tim	Total
Before	7x11 = 77 u	20x11 = 220 u	27x11 = 297 u
Change	+ 232	- 232
After	5x27 = 135 u	6x27 =  162 u	11x27 = 297 u

Number of mini cupcakes that Dylan 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 11 and 27 is 297.

Number of mini cupcakes that Tim gave to Dylan
= 220 u - 162 u
= 58 u

58 u = 232

1 u = 232 ÷ 58 = 4

Number of mini cupcakes that Dylan had in the end
= 135 u
= 135 x 4
= 540

Number of mini cupcakes that Tim had in the end
= 162 u
= 162 x 4
= 648

Answer(s): (a) 540; (b) 648