The average number of passion fruits in Box F, Box G and Box H is 33 and it is 6 more than the average number of starfruits in the 3 boxes.
19 of the starfruits are in Box F and the starfruits in Box F is 30% of the number of starfruits in Box G. If each box has the same number of fruits, what percentage of the fruits in Box H are passion fruits?
Average number of starfruits
= 33 - 6
= 27
Total number of starfruits
= 3 x 27
= 81
Total number of passion fruits
= 3 x 33
= 99
Total number of fruits
= 81 + 99
= 180
Number of fruits in each box
= 180 ÷ 3
= 60
Starfruits in Box F |
Starfruits in Box G |
Starfruits in Box H |
Total starfruits |
1x3 |
8x3 |
9x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
14 u |
27 u |
30% =
30100 =
310The number of starfruits in Box F is repeated. Make the number of starfruits in Box F the same. LCM of 1 and 3 is 3.
Total number of starfruits
= 3 u + 10 u + 14 u
= 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Number of starfruits in Box H
= 14 u
= 14 x 3
= 42
Number of passion fruits in Box H
= 60 - 42
= 18
Percentage of the fruits in Box H are passion fruits
=
1860 x 100%
= 30%
Answer(s): 30%