Ryan had 65% fewer mochi balls than Tom. After Tom gave 224 mochi balls to Ryan, Ryan had ³₄ as many mochi balls as Tom. How many mochi balls did each of them have in the end?

1. Tom
2. Ryan

	Ryan	Tom	Total
Before	7x7 = 49 u	20x7 = 140 u	27x7 = 189 u
Change	+ 224	- 224
After	3x27 = 81 u	4x27 =  108 u	7x27 = 189 u

Number of mochi balls that Ryan had at first in percentage
= 100% - 65%
= 35%

35% = ³⁵₁₀₀ = ⁷₂₀

The total number of mochi balls at first and in the end remains unchanged. Make the total number of mochi balls the same. LCM of 7 and 27 is 189.

Number of mochi balls that Tom gave to Ryan
= 140 u - 108 u
= 32 u

32 u = 224

1 u = 224 ÷ 32 = 7

Number of mochi balls that Ryan had in the end
= 81 u
= 81 x 7
= 567

Number of mochi balls that Tom had in the end
= 108 u
= 108 x 7
= 756

Answer(s): (a) 567; (b) 756