The average number of lemons in Box L, Box M and Box N is 39 and it is 3 more than the average number of passion fruits in the 3 boxes. ¹₃ of the passion fruits are in Box L and the passion fruits in Box L is 80% of the number of passion fruits in Box M. If each box has the same number of fruits, what percentage of the fruits in Box N are lemons?
Average number of passion fruits
= 39 - 3
= 36

Total number of passion fruits
= 3 x 36
= 108

Total number of lemons
= 3 x 39 
= 117

Total number of fruits
= 108 + 117
= 225

Number of fruits in each box
= 225 ÷ 3
= 75

Passion fruits in Box L	Passion fruits in Box M	Passion fruits in Box N	Total passion fruits
1x4	2x4		3x4
4x1	5x1
4 u	5 u	3 u	12 u

80% = ⁸⁰₁₀₀ = ⁴₅

The number of passion fruits in Box L is repeated.  Make the number of passion fruits in Box L the same.  LCM of 1 and 4 is 4. 

Total number of passion fruits
= 4 u + 5 u + 3 u
= 12 u

12 u = 108

1 u = 108 ÷ 12 = 9

Number of passion fruits in Box N
= 3 u
= 3 x 9
= 27

Number of lemons in Box N
= 75 - 27
= 48

Percentage of the fruits in Box N are lemons
= ⁴⁸₇₅ x 100%
= 64%

Answer(s): 64%