The average number of passion fruits in Container F, Container G and Container H is 33 and it is 6 more than the average number of pears in the 3 containers.
19 of the pears are in Container F and the pears in Container F is 60% of the number of pears in Container G. If each container has the same number of fruits, what percentage of the fruits in Container H are passion fruits?
Average number of pears
= 33 - 6
= 27
Total number of pears
= 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 container
= 180 ÷ 3
= 60
Pears in Container F |
Pears in Container G |
Pears in Container H |
Total pears |
1x3 |
8x3 |
9x3 |
3x1 |
5x1 |
|
|
3 u |
5 u |
19 u |
27 u |
60% =
60100 =
35The number of pears in Container F is repeated. Make the number of pears in Container F the same. LCM of 1 and 3 is 3.
Total number of pears
= 3 u + 5 u + 19 u
= 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Number of pears in Container H
= 19 u
= 19 x 3
= 57
Number of passion fruits in Container H
= 60 - 57
= 3
Percentage of the fruits in Container H are passion fruits
=
360 x 100%
= 5%
Answer(s): 5%