The average number of starfruits in Container A, Container B and Container C is 78 and it is 6 more than the average number of mangoes in the 3 containers.
16 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 starfruits?
Average number of mangoes
= 78 - 6
= 72
Total number of mangoes
= 3 x 72
= 216
Total number of starfruits
= 3 x 78
= 234
Total number of fruits
= 216 + 234
= 450
Number of fruits in each container
= 450 ÷ 3
= 150
Mangoes in Container A |
Mangoes in Container B |
Mangoes in Container C |
Total mangoes |
1x4 |
5x4 |
6x4 |
4x1 |
5x1 |
|
|
4 u |
5 u |
15 u |
24 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 + 15 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of mangoes in Container C
= 15 u
= 15 x 9
= 135
Number of starfruits in Container C
= 150 - 135
= 15
Percentage of the fruits in Container C are starfruits
=
15150 x 100%
= 10%
Answer(s): 10%