The average number of pears in Box M, Box N and Box P is 51 and it is 2 more than the average number of pomegranates in the 3 boxes.
17 of the pomegranates are in Box M and the pomegranates in Box M is 60% of the number of pomegranates in Box N. If each box has the same number of fruits, what percentage of the fruits in Box P are pears?
Average number of pomegranates
= 51 - 2
= 49
Total number of pomegranates
= 3 x 49
= 147
Total number of pears
= 3 x 51
= 153
Total number of fruits
= 147 + 153
= 300
Number of fruits in each box
= 300 ÷ 3
= 100
Pomegranates in Box M |
Pomegranates in Box N |
Pomegranates in Box P |
Total pomegranates |
1x3 |
6x3 |
7x3 |
3x1 |
5x1 |
|
|
3 u |
5 u |
13 u |
21 u |
60% =
60100 =
35The number of pomegranates in Box M is repeated. Make the number of pomegranates in Box M the same. LCM of 1 and 3 is 3.
Total number of pomegranates
= 3 u + 5 u + 13 u
= 21 u
21 u = 147
1 u = 147 ÷ 21 = 7
Number of pomegranates in Box P
= 13 u
= 13 x 7
= 91
Number of pears in Box P
= 100 - 91
= 9
Percentage of the fruits in Box P are pears
=
9100 x 100%
= 9%
Answer(s): 9%