Paul had 60% fewer caramel apples than Luke. After Luke gave 400 caramel apples to Paul, Paul had ²₃ as many caramel apples as Luke. How many caramel apples did each of them have in the end?

1. Luke
2. Paul

	Paul	Luke	Total
Before	2x5 = 10 u	5x5 = 25 u	7x5 = 35 u
Change	+ 400	- 400
After	2x7 = 14 u	3x7 =  21 u	5x7 = 35 u

Number of caramel apples that Paul had at first in percentage
= 100% - 60%
= 40%

40% = ⁴⁰₁₀₀ = ²₅

The total number of caramel apples at first and in the end remains unchanged. Make the total number of caramel apples the same. LCM of 5 and 7 is 35.

Number of caramel apples that Luke gave to Paul
= 25 u - 21 u
= 4 u

4 u = 400

1 u = 400 ÷ 4 = 100

Number of caramel apples that Paul had in the end
= 14 u
= 14 x 100
= 1400

Number of caramel apples that Luke had in the end
= 21 u
= 21 x 100
= 2100

Answer(s): (a) 1400; (b) 2100