The average number of apples in Container U, Container V and Container W is 30 and it is 10 more than the average number of pears in the 3 containers.
13 of the pears are in Container U and the pears in Container U is 80% of the number of pears in Container V. If each container has the same number of fruits, what percentage of the fruits in Container W are apples?
Average number of pears
= 30 - 10
= 20
Total number of pears
= 3 x 20
= 60
Total number of apples
= 3 x 30
= 90
Total number of fruits
= 60 + 90
= 150
Number of fruits in each container
= 150 ÷ 3
= 50
Pears in Container U |
Pears in Container V |
Pears in Container W |
Total pears |
1x4 |
2x4 |
3x4 |
4x1 |
5x1 |
|
|
4 u |
5 u |
3 u |
12 u |
80% =
80100 =
45The number of pears in Container U is repeated. Make the number of pears in Container U the same. LCM of 1 and 4 is 4.
Total number of pears
= 4 u + 5 u + 3 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Number of pears in Container W
= 3 u
= 3 x 5
= 15
Number of apples in Container W
= 50 - 15
= 35
Percentage of the fruits in Container W are apples
=
3550 x 100%
= 70%
Answer(s): 70%