The average number of passion fruits in Container S, Container T and Container U is 17 and it is 2 more than the average number of pomegranates in the 3 containers.
15 of the pomegranates are in Container S and the pomegranates in Container S is 30% of the number of pomegranates in Container T. If each container has the same number of fruits, what percentage of the fruits in Container U are passion fruits?
Average number of pomegranates
= 17 - 2
= 15
Total number of pomegranates
= 3 x 15
= 45
Total number of passion fruits
= 3 x 17
= 51
Total number of fruits
= 45 + 51
= 96
Number of fruits in each container
= 96 ÷ 3
= 32
Pomegranates in Container S |
Pomegranates in Container T |
Pomegranates in Container U |
Total pomegranates |
1x3 |
4x3 |
5x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
2 u |
15 u |
30% =
30100 =
310The number of pomegranates in Container S is repeated. Make the number of pomegranates in Container S the same. LCM of 1 and 3 is 3.
Total number of pomegranates
= 3 u + 10 u + 2 u
= 15 u
15 u = 45
1 u = 45 ÷ 15 = 3
Number of pomegranates in Container U
= 2 u
= 2 x 3
= 6
Number of passion fruits in Container U
= 32 - 6
= 26
Percentage of the fruits in Container U are passion fruits
=
2632 x 100%
= 81.25%
Answer(s): 81.25%