The average number of persimmons in Container C, Container D and Container E is 45 and it is 10 more than the average number of mangosteens in the 3 containers. ¹₇ of the mangosteens are in Container C and the mangosteens in Container C is 60% of the number of mangosteens in Container D. If each container has the same number of fruits, what percentage of the fruits in Container E are persimmons?
Average number of mangosteens
= 45 - 10
= 35

Total number of mangosteens
= 3 x 35
= 105

Total number of persimmons
= 3 x 45 
= 135

Total number of fruits
= 105 + 135
= 240

Number of fruits in each container
= 240 ÷ 3
= 80

Mangosteens in Container C	Mangosteens in Container D	Mangosteens in Container E	Total mangosteens
1x3	6x3		7x3
3x1	5x1
3 u	5 u	13 u	21 u

60% = ⁶⁰₁₀₀ = ³₅

The number of mangosteens in Container C is repeated.  Make the number of mangosteens in Container C the same.  LCM of 1 and 3 is 3. 

Total number of mangosteens
= 3 u + 5 u + 13 u
= 21 u

21 u = 105

1 u = 105 ÷ 21 = 5

Number of mangosteens in Container E
= 13 u
= 13 x 5
= 65

Number of persimmons in Container E
= 80 - 65
= 15

Percentage of the fruits in Container E are persimmons
= ¹⁵₈₀ x 100%
= 18.75%

Answer(s): 18.75%