There were some chikoos in 3 boxes, N, P and Q. 25% of the number of chikoos in Box N was equal to 10% of the number of chikoos in Box P. The number of chikoos in Box Q was 60% of the total number of chikoos. After Paul removed 10% of the chikoos in Box Q, there were 267 more chikoos in Box Q than in Box P. In the end, how many chikoos should be transferred from Box P to Box Q so that the number of chikoos in Box N would be the same as Box P?
Box N |
Box P |
Box Q |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Box N |
Box P |
Box Q |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 2.1 u |
After |
4 u |
10 u |
18.9 u |
25% =
25100 =
14 10% =
10100 =
110 14 Box N =
110 Box P
Box N : Box P
4 : 10
2 : 5
60% =
60100 =
35The total number of chikoos in Box N and Box P is the combined repeated identity. Make the total number of chikoos in Box N and Box P the same. LCM of 7 and 2 = 14
Number of chikoos removed from Box Q
=
10100 x 21 u
= 2.1 u
Number of chikoos left in Box Q
= 21 u - 2.1 u
= 18.9 u
Number of more chikoos in Box Q than Box P
= 18.9 u - 10 u
= 8.9 u
8.9 u = 267
1 u = 267 ÷ 8.9 = 30
|
Box N |
Box P |
Box Q |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of chikoos to be transferred from Box P to Box Q so that the number of chikoos in Box N would be the same as Box P.
= 10 u - 4 u
= 6 u
= 6 x 30
= 180
Answer(s): 180