The average number of persimmons in Container G, Container H and Container J is 26 and it is 8 more than the average number of passion fruits in the 3 containers.
19 of the passion fruits are in Container G and the passion fruits in Container G is 40% of the number of passion fruits in Container H. If each container has the same number of fruits, what percentage of the fruits in Container J are persimmons?
Average number of passion fruits
= 26 - 8
= 18
Total number of passion fruits
= 3 x 18
= 54
Total number of persimmons
= 3 x 26
= 78
Total number of fruits
= 54 + 78
= 132
Number of fruits in each container
= 132 ÷ 3
= 44
Passion fruits in Container G |
Passion fruits in Container H |
Passion fruits in Container J |
Total passion fruits |
1x2 |
8x2 |
9x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
11 u |
18 u |
40% =
40100 =
25The number of passion fruits in Container G is repeated. Make the number of passion fruits in Container G the same. LCM of 1 and 2 is 2.
Total number of passion fruits
= 2 u + 5 u + 11 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Number of passion fruits in Container J
= 11 u
= 11 x 3
= 33
Number of persimmons in Container J
= 44 - 33
= 11
Percentage of the fruits in Container J are persimmons
=
1144 x 100%
= 25%
Answer(s): 25%