Luke had 60% fewer candy canes than Oscar. After Oscar gave 273 candy canes to Luke, Luke had ⁵₆ as many candy canes as Oscar. How many candy canes did each of them have in the end?

1. Oscar
2. Luke

	Luke	Oscar	Total
Before	2x11 = 22 u	5x11 = 55 u	7x11 = 77 u
Change	+ 273	- 273
After	5x7 = 35 u	6x7 =  42 u	11x7 = 77 u

Number of candy canes that Luke 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 11 and 7 is 77.

Number of candy canes that Oscar gave to Luke
= 55 u - 42 u
= 13 u

13 u = 273

1 u = 273 ÷ 13 = 21

Number of candy canes that Luke had in the end
= 35 u
= 35 x 21
= 735

Number of candy canes that Oscar had in the end
= 42 u
= 42 x 21
= 882

Answer(s): (a) 735; (b) 882