The average number of pears in Box L, Box M and Box N is 32 and it is 4 more than the average number of apples in the 3 boxes.
17 of the apples are in Box L and the apples in Box L is 40% of the number of apples in Box M. If each box has the same number of fruits, what percentage of the fruits in Box N are pears?
Average number of apples
= 32 - 4
= 28
Total number of apples
= 3 x 28
= 84
Total number of pears
= 3 x 32
= 96
Total number of fruits
= 84 + 96
= 180
Number of fruits in each box
= 180 ÷ 3
= 60
Apples in Box L |
Apples in Box M |
Apples in Box N |
Total apples |
1x2 |
6x2 |
7x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
7 u |
14 u |
40% =
40100 =
25The number of apples in Box L is repeated. Make the number of apples in Box L the same. LCM of 1 and 2 is 2.
Total number of apples
= 2 u + 5 u + 7 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of apples in Box N
= 7 u
= 7 x 6
= 42
Number of pears in Box N
= 60 - 42
= 18
Percentage of the fruits in Box N are pears
=
1860 x 100%
= 30%
Answer(s): 30%