The average number of pomegranates in Container N, Container P and Container Q is 26 and it is 8 more than the average number of mangoes in the 3 containers.
19 of the mangoes are in Container N and the mangoes in Container N is 40% of the number of mangoes in Container P. If each container has the same number of fruits, what percentage of the fruits in Container Q are pomegranates?
Average number of mangoes
= 26 - 8
= 18
Total number of mangoes
= 3 x 18
= 54
Total number of pomegranates
= 3 x 26
= 78
Total number of fruits
= 54 + 78
= 132
Number of fruits in each container
= 132 ÷ 3
= 44
Mangoes in Container N |
Mangoes in Container P |
Mangoes in Container Q |
Total mangoes |
1x2 |
8x2 |
9x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
11 u |
18 u |
40% =
40100 =
25The number of mangoes in Container N is repeated. Make the number of mangoes in Container N the same. LCM of 1 and 2 is 2.
Total number of mangoes
= 2 u + 5 u + 11 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Number of mangoes in Container Q
= 11 u
= 11 x 3
= 33
Number of pomegranates in Container Q
= 44 - 33
= 11
Percentage of the fruits in Container Q are pomegranates
=
1144 x 100%
= 25%
Answer(s): 25%