The average number of starfruits in Box R, Box S and Box T is 21 and it is 7 more than the average number of kiwis in the 3 boxes.
17 of the kiwis are in Box R and the kiwis in Box R is 40% of the number of kiwis in Box S. If each box has the same number of fruits, what percentage of the fruits in Box T are starfruits?
Average number of kiwis
= 21 - 7
= 14
Total number of kiwis
= 3 x 14
= 42
Total number of starfruits
= 3 x 21
= 63
Total number of fruits
= 42 + 63
= 105
Number of fruits in each box
= 105 ÷ 3
= 35
Kiwis in Box R |
Kiwis in Box S |
Kiwis in Box T |
Total kiwis |
1x2 |
6x2 |
7x2 |
2x1 |
5x1 |
|
|
2 u |
5 u |
7 u |
14 u |
40% =
40100 =
25The number of kiwis in Box R is repeated. Make the number of kiwis in Box R the same. LCM of 1 and 2 is 2.
Total number of kiwis
= 2 u + 5 u + 7 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Number of kiwis in Box T
= 7 u
= 7 x 3
= 21
Number of starfruits in Box T
= 35 - 21
= 14
Percentage of the fruits in Box T are starfruits
=
1435 x 100%
= 40%
Answer(s): 40%