Zane had 75% fewer candy canes than Japheth. After Japheth gave 340 candy canes to Zane, Zane had ²₃ as many candy canes as Japheth. How many candy canes did each of them have in the end?

1. Japheth
2. Zane

	Zane	Japheth	Total
Before	1x5 = 5 u	4x5 = 20 u	5x5 = 25 u
Change	+ 340	- 340
After	2x5 = 10 u	3x5 =  15 u	5x5 = 25 u

Number of candy canes that Zane 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 5 and 5 is 25.

Number of candy canes that Japheth gave to Zane
= 20 u - 15 u
= 5 u

5 u = 340

1 u = 340 ÷ 5 = 68

Number of candy canes that Zane had in the end
= 10 u
= 10 x 68
= 680

Number of candy canes that Japheth had in the end
= 15 u
= 15 x 68
= 1020

Answer(s): (a) 680; (b) 1020