The average number of starfruits in Box N, Box P and Box Q is 56 and it is 2 more than the average number of pears in the 3 boxes.
19 of the pears are in Box N and the pears in Box N is 40% of the number of pears in Box P. If each box has the same number of fruits, what percentage of the fruits in Box Q are starfruits?
Average number of pears
= 56 - 2
= 54
Total number of pears
= 3 x 54
= 162
Total number of starfruits
= 3 x 56
= 168
Total number of fruits
= 162 + 168
= 330
Number of fruits in each box
= 330 ÷ 3
= 110
Pears in Box N |
Pears in Box P |
Pears in Box Q |
Total pears |
1x2 |
8x2 |
9x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
11 u |
18 u |
40% =
40100 =
25The number of pears in Box N is repeated. Make the number of pears in Box N the same. LCM of 1 and 2 is 2.
Total number of pears
= 2 u + 5 u + 11 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of pears in Box Q
= 11 u
= 11 x 9
= 99
Number of starfruits in Box Q
= 110 - 99
= 11
Percentage of the fruits in Box Q are starfruits
=
11110 x 100%
= 10%
Answer(s): 10%