The average number of passion fruits in Container U, Container V and Container W is 14 and it is 4 more than the average number of mangoes in the 3 containers.
15 of the mangoes are in Container U and the mangoes in Container U is 40% of the number of mangoes in Container V. If each container has the same number of fruits, what percentage of the fruits in Container W are passion fruits?
Average number of mangoes
= 14 - 4
= 10
Total number of mangoes
= 3 x 10
= 30
Total number of passion fruits
= 3 x 14
= 42
Total number of fruits
= 30 + 42
= 72
Number of fruits in each container
= 72 ÷ 3
= 24
Mangoes in Container U |
Mangoes in Container V |
Mangoes in Container W |
Total mangoes |
1x2 |
4x2 |
5x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
3 u |
10 u |
40% =
40100 =
25The number of mangoes in Container U is repeated. Make the number of mangoes in Container U the same. LCM of 1 and 2 is 2.
Total number of mangoes
= 2 u + 5 u + 3 u
= 10 u
10 u = 30
1 u = 30 ÷ 10 = 3
Number of mangoes in Container W
= 3 u
= 3 x 3
= 9
Number of passion fruits in Container W
= 24 - 9
= 15
Percentage of the fruits in Container W are passion fruits
=
1524 x 100%
= 62.5%
Answer(s): 62.5%