The average number of passion fruits in Box B, Box C and Box D is 29 and it is 8 more than the average number of mangoes in the 3 boxes. ¹₇ of the mangoes are in Box B and the mangoes in Box B is 30% of the number of mangoes in Box C. If each box has the same number of fruits, what percentage of the fruits in Box D are passion fruits?
Average number of mangoes
= 29 - 8
= 21

Total number of mangoes
= 3 x 21
= 63

Total number of passion fruits
= 3 x 29 
= 87

Total number of fruits
= 63 + 87
= 150

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

Mangoes in Box B	Mangoes in Box C	Mangoes in Box D	Total mangoes
1x3	6x3		7x3
3x1	10x1
3 u	10 u	8 u	21 u

30% = ³⁰₁₀₀ = ³₁₀

The number of mangoes in Box B is repeated.  Make the number of mangoes in Box B the same.  LCM of 1 and 3 is 3. 

Total number of mangoes
= 3 u + 10 u + 8 u
= 21 u

21 u = 63

1 u = 63 ÷ 21 = 3

Number of mangoes in Box D
= 8 u
= 8 x 3
= 24

Number of passion fruits in Box D
= 50 - 24
= 26

Percentage of the fruits in Box D are passion fruits
= ²⁶₅₀ x 100%
= 52%

Answer(s): 52%