There were some chikoos in 3 boxes, L, M and N. 25% of the number of chikoos in Box L was equal to 10% of the number of chikoos in Box M. The number of chikoos in Box N was 70% of the total number of chikoos. After Will removed 10% of the chikoos in Box N, there were 873 more chikoos in Box N than in Box M. In the end, how many chikoos should be transferred from Box M to Box N so that the number of chikoos in Box L would be the same as Box M?
Box L |
Box M |
Box N |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Box L |
Box M |
Box N |
Before |
6 u |
15 u |
49 u |
Change |
|
|
- 4.9 u |
After |
6 u |
15 u |
44.1 u |
25% =
25100 =
14 10% =
10100 =
110 14 Box L =
110 Box M
Box L : Box M
4 : 10
2 : 5
70% =
70100 =
710The total number of chikoos in Box L and Box M is the combined repeated identity. Make the total number of chikoos in Box L and Box M the same. LCM of 7 and 3 = 21
Number of chikoos removed from Box N
=
10100 x 49 u
= 4.9 u
Number of chikoos left in Box N
= 49 u - 4.9 u
= 44.1 u
Number of more chikoos in Box N than Box M
= 44.1 u - 15 u
= 29.1 u
29.1 u = 873
1 u = 873 ÷ 29.1 = 30
|
Box L |
Box M |
Box N |
Before |
6 u |
15 u |
44.1 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
53.1 u |
Number of chikoos to be transferred from Box M to Box N so that the number of chikoos in Box L would be the same as Box M.
= 15 u - 6 u
= 9 u
= 9 x 30
= 270
Answer(s): 270