The average number of starfruits in Box V, Box W and Box X is 29 and it is 2 more than the average number of mangosteens in the 3 boxes.
19 of the mangosteens are in Box V and the mangosteens in Box V is 30% of the number of mangosteens in Box W. If each box has the same number of fruits, what percentage of the fruits in Box X are starfruits?
Average number of mangosteens
= 29 - 2
= 27
Total number of mangosteens
= 3 x 27
= 81
Total number of starfruits
= 3 x 29
= 87
Total number of fruits
= 81 + 87
= 168
Number of fruits in each box
= 168 ÷ 3
= 56
Mangosteens in Box V |
Mangosteens in Box W |
Mangosteens in Box X |
Total mangosteens |
1x3 |
8x3 |
9x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
14 u |
27 u |
30% =
30100 =
310The number of mangosteens in Box V is repeated. Make the number of mangosteens in Box V the same. LCM of 1 and 3 is 3.
Total number of mangosteens
= 3 u + 10 u + 14 u
= 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Number of mangosteens in Box X
= 14 u
= 14 x 3
= 42
Number of starfruits in Box X
= 56 - 42
= 14
Percentage of the fruits in Box X are starfruits
=
1456 x 100%
= 25%
Answer(s): 25%