George had 60% fewer mochi balls than Bobby. After Bobby gave 301 mochi balls to George, George had ³₄ as many mochi balls as Bobby. How many mochi balls did each of them have in the end?

1. Bobby
2. George

	George	Bobby	Total
Before	2x7 = 14 u	5x7 = 35 u	7x7 = 49 u
Change	+ 301	- 301
After	3x7 = 21 u	4x7 =  28 u	7x7 = 49 u

Number of mochi balls that George 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 7 and 7 is 49.

Number of mochi balls that Bobby gave to George
= 35 u - 28 u
= 7 u

7 u = 301

1 u = 301 ÷ 7 = 43

Number of mochi balls that George had in the end
= 21 u
= 21 x 43
= 903

Number of mochi balls that Bobby had in the end
= 28 u
= 28 x 43
= 1204

Answer(s): (a) 903; (b) 1204