Sean had 85% fewer caramel apples than Reggie. After Reggie gave 260 caramel apples to Sean, Sean had ⁴₅ as many caramel apples as Reggie. How many caramel apples did each of them have in the end?

1. Reggie
2. Sean

	Sean	Reggie	Total
Before	3x9 = 27 u	20x9 = 180 u	23x9 = 207 u
Change	+ 260	- 260
After	4x23 = 92 u	5x23 =  115 u	9x23 = 207 u

Number of caramel apples that Sean had at first in percentage
= 100% - 85%
= 15%

15% = ¹⁵₁₀₀ = ³₂₀

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 9 and 23 is 207.

Number of caramel apples that Reggie gave to Sean
= 180 u - 115 u
= 65 u

65 u = 260

1 u = 260 ÷ 65 = 4

Number of caramel apples that Sean had in the end
= 92 u
= 92 x 4
= 368

Number of caramel apples that Reggie had in the end
= 115 u
= 115 x 4
= 460

Answer(s): (a) 368; (b) 460