The average number of oranges in Container S, Container T and Container U is 55 and it is 10 more than the average number of mangoes in the 3 containers. ¹₉ of the mangoes are in Container S and the mangoes in Container S is 30% of the number of mangoes in Container T. If each container has the same number of fruits, what percentage of the fruits in Container U are oranges?
Average number of mangoes
= 55 - 10
= 45

Total number of mangoes
= 3 x 45
= 135

Total number of oranges
= 3 x 55 
= 165

Total number of fruits
= 135 + 165
= 300

Number of fruits in each container
= 300 ÷ 3
= 100

Mangoes in Container S	Mangoes in Container T	Mangoes in Container U	Total mangoes
1x3	8x3		9x3
3x1	10x1
3 u	10 u	14 u	27 u

30% = ³⁰₁₀₀ = ³₁₀

The number of mangoes in Container S is repeated.  Make the number of mangoes in Container S the same.  LCM of 1 and 3 is 3. 

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

27 u = 135

1 u = 135 ÷ 27 = 5

Number of mangoes in Container U
= 14 u
= 14 x 5
= 70

Number of oranges in Container U
= 100 - 70
= 30

Percentage of the fruits in Container U are oranges
= ³⁰₁₀₀ x 100%
= 30%

Answer(s): 30%