The average number of persimmons in Box E, Box F and Box G is 27 and it is 6 more than the average number of lemons in the 3 boxes. ¹₇ of the lemons are in Box E and the lemons in Box E is 60% of the number of lemons in Box F. If each box has the same number of fruits, what percentage of the fruits in Box G are persimmons?
Average number of lemons
= 27 - 6
= 21

Total number of lemons
= 3 x 21
= 63

Total number of persimmons
= 3 x 27 
= 81

Total number of fruits
= 63 + 81
= 144

Number of fruits in each box
= 144 ÷ 3
= 48

Lemons in Box E	Lemons in Box F	Lemons in Box G	Total lemons
1x3	6x3		7x3
3x1	5x1
3 u	5 u	13 u	21 u

60% = ⁶⁰₁₀₀ = ³₅

The number of lemons in Box E is repeated.  Make the number of lemons in Box E the same.  LCM of 1 and 3 is 3. 

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

21 u = 63

1 u = 63 ÷ 21 = 3

Number of lemons in Box G
= 13 u
= 13 x 3
= 39

Number of persimmons in Box G
= 48 - 39
= 9

Percentage of the fruits in Box G are persimmons
= ⁹₄₈ x 100%
= 18.75%

Answer(s): 18.75%