The average number of apples in Box J, Box K and Box L is 14 and it is 4 more than the average number of starfruits in the 3 boxes. ¹₅ of the starfruits are in Box J and the starfruits in Box J is 40% of the number of starfruits in Box K. If each box has the same number of fruits, what percentage of the fruits in Box L are apples?
Average number of starfruits
= 14 - 4
= 10

Total number of starfruits
= 3 x 10
= 30

Total number of apples
= 3 x 14 
= 42

Total number of fruits
= 30 + 42
= 72

Number of fruits in each box
= 72 ÷ 3
= 24

Starfruits in Box J	Starfruits in Box K	Starfruits in Box L	Total starfruits
1x2	4x2		5x2
2x1	5x1
2 u	5 u	3 u	10 u

40% = ⁴⁰₁₀₀ = ²₅

The number of starfruits in Box J is repeated.  Make the number of starfruits in Box J the same.  LCM of 1 and 2 is 2. 

Total number of starfruits
= 2 u + 5 u + 3 u
= 10 u

10 u = 30

1 u = 30 ÷ 10 = 3

Number of starfruits in Box L
= 3 u
= 3 x 3
= 9

Number of apples in Box L
= 24 - 9
= 15

Percentage of the fruits in Box L are apples
= ¹⁵₂₄ x 100%
= 62.5%

Answer(s): 62.5%