The average number of oranges in Box S, Box T and Box U is 64 and it is 8 more than the average number of pomegranates in the 3 boxes. ¹₆ of the pomegranates are in Box S and the pomegranates in Box S is 80% of the number of pomegranates in Box T. If each box has the same number of fruits, what percentage of the fruits in Box U are oranges?
Average number of pomegranates
= 64 - 8
= 56

Total number of pomegranates
= 3 x 56
= 168

Total number of oranges
= 3 x 64 
= 192

Total number of fruits
= 168 + 192
= 360

Number of fruits in each box
= 360 ÷ 3
= 120

Pomegranates in Box S	Pomegranates in Box T	Pomegranates in Box U	Total pomegranates
1x4	5x4		6x4
4x1	5x1
4 u	5 u	15 u	24 u

80% = ⁸⁰₁₀₀ = ⁴₅

The number of pomegranates in Box S is repeated.  Make the number of pomegranates in Box S the same.  LCM of 1 and 4 is 4. 

Total number of pomegranates
= 4 u + 5 u + 15 u
= 24 u

24 u = 168

1 u = 168 ÷ 24 = 7

Number of pomegranates in Box U
= 15 u
= 15 x 7
= 105

Number of oranges in Box U
= 120 - 105
= 15

Percentage of the fruits in Box U are oranges
= ¹⁵₁₂₀ x 100%
= 12.5%

Answer(s): 12.5%