Neave had 80% fewer caramel apples than Vincent. After Vincent gave 270 caramel apples to Neave, Neave had ⁴₅ as many caramel apples as Vincent. How many caramel apples did each of them have in the end?

1. Vincent
2. Neave

	Neave	Vincent	Total
Before	1x9 = 9 u	5x9 = 45 u	6x9 = 54 u
Change	+ 270	- 270
After	4x6 = 24 u	5x6 =  30 u	9x6 = 54 u

Number of caramel apples that Neave had at first in percentage
= 100% - 80%
= 20%

20% = ²⁰₁₀₀ = ¹₅

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 6 is 54.

Number of caramel apples that Vincent gave to Neave
= 45 u - 30 u
= 15 u

15 u = 270

1 u = 270 ÷ 15 = 18

Number of caramel apples that Neave had in the end
= 24 u
= 24 x 18
= 432

Number of caramel apples that Vincent had in the end
= 30 u
= 30 x 18
= 540

Answer(s): (a) 432; (b) 540