The average number of pomegranates in Container M, Container N and Container P is 26 and it is 2 more than the average number of oranges in the 3 containers.
16 of the oranges are in Container M and the oranges in Container M is 40% of the number of oranges in Container N. If each container has the same number of fruits, what percentage of the fruits in Container P are pomegranates?
Average number of oranges
= 26 - 2
= 24
Total number of oranges
= 3 x 24
= 72
Total number of pomegranates
= 3 x 26
= 78
Total number of fruits
= 72 + 78
= 150
Number of fruits in each container
= 150 ÷ 3
= 50
Oranges in Container M |
Oranges in Container N |
Oranges in Container P |
Total oranges |
1x2 |
5x2 |
6x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
5 u |
12 u |
40% =
40100 =
25The number of oranges in Container M is repeated. Make the number of oranges in Container M the same. LCM of 1 and 2 is 2.
Total number of oranges
= 2 u + 5 u + 5 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Number of oranges in Container P
= 5 u
= 5 x 6
= 30
Number of pomegranates in Container P
= 50 - 30
= 20
Percentage of the fruits in Container P are pomegranates
=
2050 x 100%
= 40%
Answer(s): 40%