The average number of mangosteens in Container H, Container J and Container K is 55 and it is 10 more than the average number of lemons in the 3 containers. ¹₅ of the lemons are in Container H and the lemons in Container H is 60% of the number of lemons in Container J. If each container has the same number of fruits, what percentage of the fruits in Container K are mangosteens?
Average number of lemons
= 55 - 10
= 45

Total number of lemons
= 3 x 45
= 135

Total number of mangosteens
= 3 x 55 
= 165

Total number of fruits
= 135 + 165
= 300

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

Lemons in Container H	Lemons in Container J	Lemons in Container K	Total lemons
1x3	4x3		5x3
3x1	5x1
3 u	5 u	7 u	15 u

60% = ⁶⁰₁₀₀ = ³₅

The number of lemons in Container H is repeated.  Make the number of lemons in Container H the same.  LCM of 1 and 3 is 3. 

Total number of lemons
= 3 u + 5 u + 7 u
= 15 u

15 u = 135

1 u = 135 ÷ 15 = 9

Number of lemons in Container K
= 7 u
= 7 x 9
= 63

Number of mangosteens in Container K
= 100 - 63
= 37

Percentage of the fruits in Container K are mangosteens
= ³⁷₁₀₀ x 100%
= 37%

Answer(s): 37%