The average number of mangoes in Container P, Container Q and Container R is 26 and it is 2 more than the average number of passion fruits in the 3 containers. ¹₆ of the passion fruits are in Container P and the passion fruits in Container P is 30% of the number of passion fruits in Container Q. If each container has the same number of fruits, what percentage of the fruits in Container R are mangoes?
Average number of passion fruits
= 26 - 2
= 24

Total number of passion fruits
= 3 x 24
= 72

Total number of mangoes
= 3 x 26 
= 78

Total number of fruits
= 72 + 78
= 150

Number of fruits in each container
= 150 ÷ 3
= 50

Passion fruits in Container P	Passion fruits in Container Q	Passion fruits in Container R	Total passion fruits
1x3	5x3		6x3
3x1	10x1
3 u	10 u	5 u	18 u

30% = ³⁰₁₀₀ = ³₁₀

The number of passion fruits in Container P is repeated.  Make the number of passion fruits in Container P the same.  LCM of 1 and 3 is 3. 

Total number of passion fruits
= 3 u + 10 u + 5 u
= 18 u

18 u = 72

1 u = 72 ÷ 18 = 4

Number of passion fruits in Container R
= 5 u
= 5 x 4
= 20

Number of mangoes in Container R
= 50 - 20
= 30

Percentage of the fruits in Container R are mangoes
= ³⁰₅₀ x 100%
= 60%

Answer(s): 60%