There were some dragonfruits in 3 boxes, F, G and H. 20% of the number of dragonfruits in Box F was equal to 10% of the number of dragonfruits in Box G. The number of dragonfruits in Box H was 60% of the total number of dragonfruits. After Dylan removed 25% of the dragonfruits in Box H, there were 110 more dragonfruits in Box H than in Box G. In the end, how many dragonfruits should be transferred from Box G to Box H so that the number of dragonfruits in Box F would be the same as Box G?
Box F |
Box G |
Box H |
1x2 |
2x2 |
|
2x3 |
3x3 |
2 u |
4 u |
9 u |
|
Box F |
Box G |
Box H |
Before |
2 u |
4 u |
9 u |
Change |
|
|
- 2.25 u |
After |
2 u |
4 u |
6.75 u |
20% =
20100 =
15 10% =
10100 =
110 15 Box F =
110 Box G
Box F : Box G
5 : 10
1 : 2
60% =
60100 =
35The total number of dragonfruits in Box F and Box G is the combined repeated identity. Make the total number of dragonfruits in Box F and Box G the same. LCM of 3 and 2 = 6
Number of dragonfruits removed from Box H
=
25100 x 9 u
= 2.25 u
Number of dragonfruits left in Box H
= 9 u - 2.25 u
= 6.75 u
Number of more dragonfruits in Box H than Box G
= 6.75 u - 4 u
= 2.75 u
2.75 u = 110
1 u = 110 ÷ 2.75 = 40
|
Box F |
Box G |
Box H |
Before |
2 u |
4 u |
6.75 u |
Change |
|
- 2 u |
+ 2 u |
After |
2 u |
2 u |
8.75 u |
Number of dragonfruits to be transferred from Box G to Box H so that the number of dragonfruits in Box F would be the same as Box G.
= 4 u - 2 u
= 2 u
= 2 x 40
= 80
Answer(s): 80