John had 60% fewer candy canes than Luke. After Luke gave 287 candy canes to John, John had ³₄ as many candy canes as Luke. How many candy canes did each of them have in the end?

1. Luke
2. John

	John	Luke	Total
Before	2x7 = 14 u	5x7 = 35 u	7x7 = 49 u
Change	+ 287	- 287
After	3x7 = 21 u	4x7 =  28 u	7x7 = 49 u

Number of candy canes that John had at first in percentage
= 100% - 60%
= 40%

40% = ⁴⁰₁₀₀ = ²₅

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 7 and 7 is 49.

Number of candy canes that Luke gave to John
= 35 u - 28 u
= 7 u

7 u = 287

1 u = 287 ÷ 7 = 41

Number of candy canes that John had in the end
= 21 u
= 21 x 41
= 861

Number of candy canes that Luke had in the end
= 28 u
= 28 x 41
= 1148

Answer(s): (a) 861; (b) 1148