The average number of kiwis in Box Q, Box R and Box S is 18 and it is 4 more than the average number of lemons in the 3 boxes.
17 of the lemons are in Box Q and the lemons in Box Q is 30% of the number of lemons in Box R. If each box has the same number of fruits, what percentage of the fruits in Box S are kiwis?
Average number of lemons
= 18 - 4
= 14
Total number of lemons
= 3 x 14
= 42
Total number of kiwis
= 3 x 18
= 54
Total number of fruits
= 42 + 54
= 96
Number of fruits in each box
= 96 ÷ 3
= 32
Lemons in Box Q |
Lemons in Box R |
Lemons in Box S |
Total lemons |
1x3 |
6x3 |
7x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
8 u |
21 u |
30% =
30100 =
310The number of lemons in Box Q is repeated. Make the number of lemons in Box Q the same. LCM of 1 and 3 is 3.
Total number of lemons
= 3 u + 10 u + 8 u
= 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Number of lemons in Box S
= 8 u
= 8 x 2
= 16
Number of kiwis in Box S
= 32 - 16
= 16
Percentage of the fruits in Box S are kiwis
=
1632 x 100%
= 50%
Answer(s): 50%