The average number of starfruits in Box K, Box L and Box M is 44 and it is 8 more than the average number of oranges in the 3 boxes.
19 of the oranges are in Box K and the oranges in Box K is 40% of the number of oranges in Box L. If each box has the same number of fruits, what percentage of the fruits in Box M are starfruits?
Average number of oranges
= 44 - 8
= 36
Total number of oranges
= 3 x 36
= 108
Total number of starfruits
= 3 x 44
= 132
Total number of fruits
= 108 + 132
= 240
Number of fruits in each box
= 240 ÷ 3
= 80
Oranges in Box K |
Oranges in Box L |
Oranges in Box M |
Total oranges |
1x2 |
8x2 |
9x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
11 u |
18 u |
40% =
40100 =
25The number of oranges in Box K is repeated. Make the number of oranges in Box K the same. LCM of 1 and 2 is 2.
Total number of oranges
= 2 u + 5 u + 11 u
= 18 u
18 u = 108
1 u = 108 ÷ 18 = 6
Number of oranges in Box M
= 11 u
= 11 x 6
= 66
Number of starfruits in Box M
= 80 - 66
= 14
Percentage of the fruits in Box M are starfruits
=
1480 x 100%
= 17.5%
Answer(s): 17.5%