Nick had 60% fewer mochi balls than Ben. After Ben gave 340 mochi balls to Nick, Nick had ²₃ as many mochi balls as Ben. How many mochi balls did each of them have in the end?

1. Ben
2. Nick

	Nick	Ben	Total
Before	2x5 = 10 u	5x5 = 25 u	7x5 = 35 u
Change	+ 340	- 340
After	2x7 = 14 u	3x7 =  21 u	5x7 = 35 u

Number of mochi balls that Nick had at first in percentage
= 100% - 60%
= 40%

40% = ⁴⁰₁₀₀ = ²₅

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 5 and 7 is 35.

Number of mochi balls that Ben gave to Nick
= 25 u - 21 u
= 4 u

4 u = 340

1 u = 340 ÷ 4 = 85

Number of mochi balls that Nick had in the end
= 14 u
= 14 x 85
= 1190

Number of mochi balls that Ben had in the end
= 21 u
= 21 x 85
= 1785

Answer(s): (a) 1190; (b) 1785