The average number of pomegranates in Box P, Box Q and Box R is 12 and it is 4 more than the average number of starfruits in the 3 boxes.
13 of the starfruits are in Box P and the starfruits in Box P is 80% 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 pomegranates?
Average number of starfruits
= 12 - 4
= 8
Total number of starfruits
= 3 x 8
= 24
Total number of pomegranates
= 3 x 12
= 36
Total number of fruits
= 24 + 36
= 60
Number of fruits in each box
= 60 ÷ 3
= 20
Starfruits in Box P |
Starfruits in Box Q |
Starfruits in Box R |
Total starfruits |
1x4 |
2x4 |
3x4 |
4x1 |
5x1 |
|
|
4 u |
5 u |
3 u |
12 u |
80% =
80100 =
45The number of starfruits in Box P is repeated. Make the number of starfruits in Box P the same. LCM of 1 and 4 is 4.
Total number of starfruits
= 4 u + 5 u + 3 u
= 12 u
12 u = 24
1 u = 24 ÷ 12 = 2
Number of starfruits in Box R
= 3 u
= 3 x 2
= 6
Number of pomegranates in Box R
= 20 - 6
= 14
Percentage of the fruits in Box R are pomegranates
=
1420 x 100%
= 70%
Answer(s): 70%