The average number of mangoes in Container H, Container J and Container K is 64 and it is 8 more than the average number of mangosteens in the 3 containers. ¹₇ of the mangosteens are in Container H and the mangosteens in Container H is 80% of the number of mangosteens in Container J. If each container has the same number of fruits, what percentage of the fruits in Container K are mangoes?
Average number of mangosteens
= 64 - 8
= 56

Total number of mangosteens
= 3 x 56
= 168

Total number of mangoes
= 3 x 64 
= 192

Total number of fruits
= 168 + 192
= 360

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

Mangosteens in Container H	Mangosteens in Container J	Mangosteens in Container K	Total mangosteens
1x4	6x4		7x4
4x1	5x1
4 u	5 u	19 u	28 u

80% = ⁸⁰₁₀₀ = ⁴₅

The number of mangosteens in Container H is repeated.  Make the number of mangosteens in Container H the same.  LCM of 1 and 4 is 4. 

Total number of mangosteens
= 4 u + 5 u + 19 u
= 28 u

28 u = 168

1 u = 168 ÷ 28 = 6

Number of mangosteens in Container K
= 19 u
= 19 x 6
= 114

Number of mangoes in Container K
= 120 - 114
= 6

Percentage of the fruits in Container K are mangoes
= ⁶₁₂₀ x 100%
= 5%

Answer(s): 5%