The average number of apples in Container N, Container P and Container Q is 51 and it is 6 more than the average number of oranges in the 3 containers. ¹₅ of the oranges are in Container N and the oranges in Container N is 30% of the number of oranges in Container P. If each container has the same number of fruits, what percentage of the fruits in Container Q are apples?
Average number of oranges
= 51 - 6
= 45

Total number of oranges
= 3 x 45
= 135

Total number of apples
= 3 x 51 
= 153

Total number of fruits
= 135 + 153
= 288

Number of fruits in each container
= 288 ÷ 3
= 96

Oranges in Container N	Oranges in Container P	Oranges in Container Q	Total oranges
1x3	4x3		5x3
3x1	10x1
3 u	10 u	2 u	15 u

30% = ³⁰₁₀₀ = ³₁₀

The number of oranges in Container N is repeated.  Make the number of oranges in Container N the same.  LCM of 1 and 3 is 3. 

Total number of oranges
= 3 u + 10 u + 2 u
= 15 u

15 u = 135

1 u = 135 ÷ 15 = 9

Number of oranges in Container Q
= 2 u
= 2 x 9
= 18

Number of apples in Container Q
= 96 - 18
= 78

Percentage of the fruits in Container Q are apples
= ⁷⁸₉₆ x 100%
= 81.25%

Answer(s): 81.25%