The average number of passion fruits in Container R, Container S and Container T is 55 and it is 6 more than the average number of oranges in the 3 containers.
17 of the oranges are in Container R and the oranges in Container R is 60% of the number of oranges in Container S. If each container has the same number of fruits, what percentage of the fruits in Container T are passion fruits?
Average number of oranges
= 55 - 6
= 49
Total number of oranges
= 3 x 49
= 147
Total number of passion fruits
= 3 x 55
= 165
Total number of fruits
= 147 + 165
= 312
Number of fruits in each container
= 312 ÷ 3
= 104
Oranges in Container R |
Oranges in Container S |
Oranges in Container T |
Total oranges |
1x3 |
6x3 |
7x3 |
3x1 |
5x1 |
|
|
3 u |
5 u |
13 u |
21 u |
60% =
60100 =
35The number of oranges in Container R is repeated. Make the number of oranges in Container R the same. LCM of 1 and 3 is 3.
Total number of oranges
= 3 u + 5 u + 13 u
= 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Number of oranges in Container T
= 13 u
= 13 x 7
= 91
Number of passion fruits in Container T
= 104 - 91
= 13
Percentage of the fruits in Container T are passion fruits
=
13104 x 100%
= 12.5%
Answer(s): 12.5%