The average number of oranges in Box N, Box P and Box Q is 56 and it is 2 more than the average number of pomegranates in the 3 boxes. ¹₉ of the pomegranates are in Box N and the pomegranates in Box N is 40% of the number of pomegranates in Box P. If each box has the same number of fruits, what percentage of the fruits in Box Q are oranges?
Average number of pomegranates
= 56 - 2
= 54

Total number of pomegranates
= 3 x 54
= 162

Total number of oranges
= 3 x 56 
= 168

Total number of fruits
= 162 + 168
= 330

Number of fruits in each box
= 330 ÷ 3
= 110

Pomegranates in Box N	Pomegranates in Box P	Pomegranates in Box Q	Total pomegranates
1x2	8x2		9x2
2x1	5x1
2 u	5 u	11 u	18 u

40% = ⁴⁰₁₀₀ = ²₅

The number of pomegranates in Box N is repeated.  Make the number of pomegranates in Box N the same.  LCM of 1 and 2 is 2. 

Total number of pomegranates
= 2 u + 5 u + 11 u
= 18 u

18 u = 162

1 u = 162 ÷ 18 = 9

Number of pomegranates in Box Q
= 11 u
= 11 x 9
= 99

Number of oranges in Box Q
= 110 - 99
= 11

Percentage of the fruits in Box Q are oranges
= ¹¹₁₁₀ x 100%
= 10%

Answer(s): 10%