The average number of mangoes in Container U, Container V and Container W is 56 and it is 2 more than the average number of oranges in the 3 containers.
19 of the oranges are in Container U and the oranges in Container U is 40% of the number of oranges in Container V. If each container has the same number of fruits, what percentage of the fruits in Container W are mangoes?
Average number of oranges
= 56 - 2
= 54
Total number of oranges
= 3 x 54
= 162
Total number of mangoes
= 3 x 56
= 168
Total number of fruits
= 162 + 168
= 330
Number of fruits in each container
= 330 ÷ 3
= 110
Oranges in Container U |
Oranges in Container V |
Oranges in Container W |
Total oranges |
1x2 |
8x2 |
9x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
11 u |
18 u |
40% =
40100 =
25The number of oranges in Container U is repeated. Make the number of oranges in Container U the same. LCM of 1 and 2 is 2.
Total number of oranges
= 2 u + 5 u + 11 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of oranges in Container W
= 11 u
= 11 x 9
= 99
Number of mangoes in Container W
= 110 - 99
= 11
Percentage of the fruits in Container W are mangoes
=
11110 x 100%
= 10%
Answer(s): 10%