Harry had 65% fewer mini cupcakes than Tim. After Tim gave 342 mini cupcakes to Harry, Harry had ²₃ as many mini cupcakes as Tim. How many mini cupcakes did each of them have in the end?

1. Tim
2. Harry

	Harry	Tim	Total
Before	7x5 = 35 u	20x5 = 100 u	27x5 = 135 u
Change	+ 342	- 342
After	2x27 = 54 u	3x27 =  81 u	5x27 = 135 u

Number of mini cupcakes that Harry 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 Tim gave to Harry
= 100 u - 81 u
= 19 u

19 u = 342

1 u = 342 ÷ 19 = 18

Number of mini cupcakes that Harry had in the end
= 54 u
= 54 x 18
= 972

Number of mini cupcakes that Tim had in the end
= 81 u
= 81 x 18
= 1458

Answer(s): (a) 972; (b) 1458