The average number of lemons in Box F, Box G and Box H is 22 and it is 4 more than the average number of pears in the 3 boxes.
16 of the pears are in Box F and the pears in Box F is 60% of the number of pears in Box G. If each box has the same number of fruits, what percentage of the fruits in Box H are lemons?
Average number of pears
= 22 - 4
= 18
Total number of pears
= 3 x 18
= 54
Total number of lemons
= 3 x 22
= 66
Total number of fruits
= 54 + 66
= 120
Number of fruits in each box
= 120 ÷ 3
= 40
Pears in Box F |
Pears in Box G |
Pears in Box H |
Total pears |
1x3 |
5x3 |
6x3 |
3x1 |
5x1 |
|
|
3 u |
5 u |
10 u |
18 u |
60% =
60100 =
35The number of pears in Box F is repeated. Make the number of pears in Box F the same. LCM of 1 and 3 is 3.
Total number of pears
= 3 u + 5 u + 10 u
= 18 u
18 u = 54
1 u = 54 ÷ 18 = 3
Number of pears in Box H
= 10 u
= 10 x 3
= 30
Number of lemons in Box H
= 40 - 30
= 10
Percentage of the fruits in Box H are lemons
=
1040 x 100%
= 25%
Answer(s): 25%