The average number of apples in Container Q, Container R and Container S is 27 and it is 6 more than the average number of lemons in the 3 containers.
17 of the lemons are in Container Q and the lemons in Container Q is 30% of the number of lemons in Container R. If each container has the same number of fruits, what percentage of the fruits in Container S are apples?
Average number of lemons
= 27 - 6
= 21
Total number of lemons
= 3 x 21
= 63
Total number of apples
= 3 x 27
= 81
Total number of fruits
= 63 + 81
= 144
Number of fruits in each container
= 144 ÷ 3
= 48
Lemons in Container Q |
Lemons in Container R |
Lemons in Container S |
Total lemons |
1x3 |
6x3 |
7x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
8 u |
21 u |
30% =
30100 =
310The number of lemons in Container Q is repeated. Make the number of lemons in Container Q the same. LCM of 1 and 3 is 3.
Total number of lemons
= 3 u + 10 u + 8 u
= 21 u
21 u = 63
1 u = 63 ÷ 21 = 3
Number of lemons in Container S
= 8 u
= 8 x 3
= 24
Number of apples in Container S
= 48 - 24
= 24
Percentage of the fruits in Container S are apples
=
2448 x 100%
= 50%
Answer(s): 50%