The average number of mangoes in Box A, Box B and Box C is 44 and it is 8 more than the average number of starfruits in the 3 boxes.
19 of the starfruits are in Box A and the starfruits in Box A is 30% of the number of starfruits in Box B. If each box has the same number of fruits, what percentage of the fruits in Box C are mangoes?
Average number of starfruits
= 44 - 8
= 36
Total number of starfruits
= 3 x 36
= 108
Total number of mangoes
= 3 x 44
= 132
Total number of fruits
= 108 + 132
= 240
Number of fruits in each box
= 240 ÷ 3
= 80
Starfruits in Box A |
Starfruits in Box B |
Starfruits in Box C |
Total starfruits |
1x3 |
8x3 |
9x3 |
3x1 |
10x1 |
|
|
3 u |
10 u |
14 u |
27 u |
30% =
30100 =
310The number of starfruits in Box A is repeated. Make the number of starfruits in Box A the same. LCM of 1 and 3 is 3.
Total number of starfruits
= 3 u + 10 u + 14 u
= 27 u
27 u = 108
1 u = 108 ÷ 27 = 4
Number of starfruits in Box C
= 14 u
= 14 x 4
= 56
Number of mangoes in Box C
= 80 - 56
= 24
Percentage of the fruits in Box C are mangoes
=
2480 x 100%
= 30%
Answer(s): 30%