The average number of oranges in Box E, Box F and Box G is 29 and it is 2 more than the average number of pomegranates in the 3 boxes. ¹₉ of the pomegranates are in Box E and the pomegranates in Box E is 30% of the number of pomegranates in Box F. If each box has the same number of fruits, what percentage of the fruits in Box G are oranges?
Average number of pomegranates
= 29 - 2
= 27

Total number of pomegranates
= 3 x 27
= 81

Total number of oranges
= 3 x 29 
= 87

Total number of fruits
= 81 + 87
= 168

Number of fruits in each box
= 168 ÷ 3
= 56

Pomegranates in Box E	Pomegranates in Box F	Pomegranates in Box G	Total pomegranates
1x3	8x3		9x3
3x1	10x1
3 u	10 u	14 u	27 u

30% = ³⁰₁₀₀ = ³₁₀

The number of pomegranates in Box E is repeated.  Make the number of pomegranates in Box E the same.  LCM of 1 and 3 is 3. 

Total number of pomegranates
= 3 u + 10 u + 14 u
= 27 u

27 u = 81

1 u = 81 ÷ 27 = 3

Number of pomegranates in Box G
= 14 u
= 14 x 3
= 42

Number of oranges in Box G
= 56 - 42
= 14

Percentage of the fruits in Box G are oranges
= ¹⁴₅₆ x 100%
= 25%

Answer(s): 25%