Tom had 75% fewer mochi balls than Jack. After Jack gave 200 mochi balls to Tom, Tom had ³₄ as many mochi balls as Jack. How many mochi balls did each of them have in the end?

1. Jack
2. Tom

	Tom	Jack	Total
Before	1x7 = 7 u	4x7 = 28 u	5x7 = 35 u
Change	+ 200	- 200
After	3x5 = 15 u	4x5 =  20 u	7x5 = 35 u

Number of mochi balls that Tom had at first in percentage
= 100% - 75%
= 25%

25% = ²⁵₁₀₀ = ¹₄

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 5 is 35.

Number of mochi balls that Jack gave to Tom
= 28 u - 20 u
= 8 u

8 u = 200

1 u = 200 ÷ 8 = 25

Number of mochi balls that Tom had in the end
= 15 u
= 15 x 25
= 375

Number of mochi balls that Jack had in the end
= 20 u
= 20 x 25
= 500

Answer(s): (a) 375; (b) 500