George had 75% fewer candy canes than Fred. After Fred gave 280 candy canes to George, George had ⁵₆ as many candy canes as Fred. How many candy canes did each of them have in the end?

1. Fred
2. George

	George	Fred	Total
Before	1x11 = 11 u	4x11 = 44 u	5x11 = 55 u
Change	+ 280	- 280
After	5x5 = 25 u	6x5 =  30 u	11x5 = 55 u

Number of candy canes that George had at first in percentage
= 100% - 75%
= 25%

25% = ²⁵₁₀₀ = ¹₄

The total number of candy canes at first and in the end remains unchanged. Make the total number of candy canes the same. LCM of 11 and 5 is 55.

Number of candy canes that Fred gave to George
= 44 u - 30 u
= 14 u

14 u = 280

1 u = 280 ÷ 14 = 20

Number of candy canes that George had in the end
= 25 u
= 25 x 20
= 500

Number of candy canes that Fred had in the end
= 30 u
= 30 x 20
= 600

Answer(s): (a) 500; (b) 600