The average number of chikoos in Box P, Box Q and Box R is 39 and it is 3 more than the average number of starfruits in the 3 boxes.
16 of the starfruits are in Box P and the starfruits in Box P is 30% of the number of starfruits in Box Q. If each box has the same number of fruits, what percentage of the fruits in Box R are chikoos?
Average number of starfruits
= 39 - 3
= 36
Total number of starfruits
= 3 x 36
= 108
Total number of chikoos
= 3 x 39
= 117
Total number of fruits
= 108 + 117
= 225
Number of fruits in each box
= 225 ÷ 3
= 75
Starfruits in Box P |
Starfruits in Box Q |
Starfruits in Box R |
Total starfruits |
1x3 |
5x3 |
6x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
5 u |
18 u |
30% =
30100 =
310The number of starfruits in Box P is repeated. Make the number of starfruits in Box P the same. LCM of 1 and 3 is 3.
Total number of starfruits
= 3 u + 10 u + 5 u
= 18 u
18 u = 108
1 u = 108 ÷ 18 = 6
Number of starfruits in Box R
= 5 u
= 5 x 6
= 30
Number of chikoos in Box R
= 75 - 30
= 45
Percentage of the fruits in Box R are chikoos
=
4575 x 100%
= 60%
Answer(s): 60%