The average number of mangoes in Box J, Box K and Box L is 48 and it is 6 more than the average number of mangosteens in the 3 boxes. ¹₇ of the mangosteens are in Box J and the mangosteens in Box J is 40% of the number of mangosteens in Box K. If each box has the same number of fruits, what percentage of the fruits in Box L are mangoes?
Average number of mangosteens
= 48 - 6
= 42

Total number of mangosteens
= 3 x 42
= 126

Total number of mangoes
= 3 x 48 
= 144

Total number of fruits
= 126 + 144
= 270

Number of fruits in each box
= 270 ÷ 3
= 90

Mangosteens in Box J	Mangosteens in Box K	Mangosteens in Box L	Total mangosteens
1x2	6x2		7x2
2x1	5x1
2 u	5 u	7 u	14 u

40% = ⁴⁰₁₀₀ = ²₅

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

Total number of mangosteens
= 2 u + 5 u + 7 u
= 14 u

14 u = 126

1 u = 126 ÷ 14 = 9

Number of mangosteens in Box L
= 7 u
= 7 x 9
= 63

Number of mangoes in Box L
= 90 - 63
= 27

Percentage of the fruits in Box L are mangoes
= ²⁷₉₀ x 100%
= 30%

Answer(s): 30%