The average number of oranges in Container K, Container L and Container M is 18 and it is 6 more than the average number of pears in the 3 containers.
16 of the pears are in Container K and the pears in Container K is 40% of the number of pears in Container L. If each container has the same number of fruits, what percentage of the fruits in Container M are oranges?
Average number of pears
= 18 - 6
= 12
Total number of pears
= 3 x 12
= 36
Total number of oranges
= 3 x 18
= 54
Total number of fruits
= 36 + 54
= 90
Number of fruits in each container
= 90 ÷ 3
= 30
Pears in Container K |
Pears in Container L |
Pears in Container M |
Total pears |
1x2 |
5x2 |
6x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
5 u |
12 u |
40% =
40100 =
25The number of pears in Container K is repeated. Make the number of pears in Container K the same. LCM of 1 and 2 is 2.
Total number of pears
= 2 u + 5 u + 5 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of pears in Container M
= 5 u
= 5 x 3
= 15
Number of oranges in Container M
= 30 - 15
= 15
Percentage of the fruits in Container M are oranges
=
1530 x 100%
= 50%
Answer(s): 50%