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