The average number of mangoes in Box T, Box U and Box V is 32 and it is 4 more than the average number of pomegranates in the 3 boxes.
17 of the pomegranates are in Box T and the pomegranates in Box T is 80% of the number of pomegranates in Box U. If each box has the same number of fruits, what percentage of the fruits in Box V are mangoes?
Average number of pomegranates
= 32 - 4
= 28
Total number of pomegranates
= 3 x 28
= 84
Total number of mangoes
= 3 x 32
= 96
Total number of fruits
= 84 + 96
= 180
Number of fruits in each box
= 180 ÷ 3
= 60
Pomegranates in Box T |
Pomegranates in Box U |
Pomegranates in Box V |
Total pomegranates |
1x4 |
6x4 |
7x4 |
4x1 |
5x1 |
|
|
4 u |
5 u |
19 u |
28 u |
80% =
80100 =
45The number of pomegranates in Box T is repeated. Make the number of pomegranates in Box T the same. LCM of 1 and 4 is 4.
Total number of pomegranates
= 4 u + 5 u + 19 u
= 28 u
28 u = 84
1 u = 84 ÷ 28 = 3
Number of pomegranates in Box V
= 19 u
= 19 x 3
= 57
Number of mangoes in Box V
= 60 - 57
= 3
Percentage of the fruits in Box V are mangoes
=
360 x 100%
= 5%
Answer(s): 5%