The average number of starfruits in Box S, Box T and Box U is 18 and it is 6 more than the average number of lemons in the 3 boxes.
16 of the lemons are in Box S and the lemons in Box S is 40% of the number of lemons in Box T. If each box has the same number of fruits, what percentage of the fruits in Box U are starfruits?
Average number of lemons
= 18 - 6
= 12
Total number of lemons
= 3 x 12
= 36
Total number of starfruits
= 3 x 18
= 54
Total number of fruits
= 36 + 54
= 90
Number of fruits in each box
= 90 ÷ 3
= 30
Lemons in Box S |
Lemons in Box T |
Lemons in Box U |
Total lemons |
1x2 |
5x2 |
6x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
5 u |
12 u |
40% =
40100 =
25The number of lemons in Box S is repeated. Make the number of lemons in Box S the same. LCM of 1 and 2 is 2.
Total number of lemons
= 2 u + 5 u + 5 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of lemons in Box U
= 5 u
= 5 x 3
= 15
Number of starfruits in Box U
= 30 - 15
= 15
Percentage of the fruits in Box U are starfruits
=
1530 x 100%
= 50%
Answer(s): 50%