The average number of pomegranates in Container A, Container B and Container C is 32 and it is 4 more than the average number of mangoes in the 3 containers.
17 of the mangoes are in Container A and the mangoes in Container A is 80% of the number of mangoes in Container B. If each container has the same number of fruits, what percentage of the fruits in Container C are pomegranates?
Average number of mangoes
= 32 - 4
= 28
Total number of mangoes
= 3 x 28
= 84
Total number of pomegranates
= 3 x 32
= 96
Total number of fruits
= 84 + 96
= 180
Number of fruits in each container
= 180 ÷ 3
= 60
Mangoes in Container A |
Mangoes in Container B |
Mangoes in Container C |
Total mangoes |
1x4 |
6x4 |
7x4 |
4x1 |
5x1 |
|
|
4 u |
5 u |
19 u |
28 u |
80% =
80100 =
45The number of mangoes in Container A is repeated. Make the number of mangoes in Container A the same. LCM of 1 and 4 is 4.
Total number of mangoes
= 4 u + 5 u + 19 u
= 28 u
28 u = 84
1 u = 84 ÷ 28 = 3
Number of mangoes in Container C
= 19 u
= 19 x 3
= 57
Number of pomegranates in Container C
= 60 - 57
= 3
Percentage of the fruits in Container C are pomegranates
=
360 x 100%
= 5%
Answer(s): 5%