There were some pears in 3 boxes, G, H and J. 20% of the number of pears in Box G was equal to 10% of the number of pears in Box H. The number of pears in Box J was 60% of the total number of pears. After Oscar removed 20% of the pears in Box J, there were 128 more pears in Box J than in Box H. In the end, how many pears should be transferred from Box H to Box J so that the number of pears in Box G would be the same as Box H?
Box G |
Box H |
Box J |
1x2 |
2x2 |
|
2x3 |
3x3 |
2 u |
4 u |
9 u |
|
Box G |
Box H |
Box J |
Before |
2 u |
4 u |
9 u |
Change |
|
|
- 1.8 u |
After |
2 u |
4 u |
7.2 u |
20% =
20100 =
15 10% =
10100 =
110 15 Box G =
110 Box H
Box G : Box H
5 : 10
1 : 2
60% =
60100 =
35The total number of pears in Box G and Box H is the combined repeated identity. Make the total number of pears in Box G and Box H the same. LCM of 3 and 2 = 6
Number of pears removed from Box J
=
20100 x 9 u
= 1.8 u
Number of pears left in Box J
= 9 u - 1.8 u
= 7.2 u
Number of more pears in Box J than Box H
= 7.2 u - 4 u
= 3.2 u
3.2 u = 128
1 u = 128 ÷ 3.2 = 40
|
Box G |
Box H |
Box J |
Before |
2 u |
4 u |
7.2 u |
Change |
|
- 2 u |
+ 2 u |
After |
2 u |
2 u |
9.2 u |
Number of pears to be transferred from Box H to Box J so that the number of pears in Box G would be the same as Box H.
= 4 u - 2 u
= 2 u
= 2 x 40
= 80
Answer(s): 80