There were some chikoos in 3 baskets, V, W and X. 25% of the number of chikoos in Basket V was equal to 10% of the number of chikoos in Basket W. The number of chikoos in Basket X was 60% of the total number of chikoos. After Flynn removed 25% of the chikoos in Basket X, there were 230 more chikoos in Basket X than in Basket W. In the end, how many chikoos should be transferred from Basket W to Basket X so that the number of chikoos in Basket V would be the same as Basket W?
Basket V |
Basket W |
Basket X |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket V |
Basket W |
Basket X |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 5.25 u |
After |
4 u |
10 u |
15.75 u |
25% =
25100 =
14 10% =
10100 =
110 14 Basket V =
110 Basket W
Basket V : Basket W
4 : 10
2 : 5
60% =
60100 =
35The total number of chikoos in Basket V and Basket W is the combined repeated identity. Make the total number of chikoos in Box V and Basket W the same. LCM of 7 and 2 = 14
Number of chikoos removed from Basket X
=
25100 x 21 u
= 5.25 u
Number of chikoos left in Basket X
= 21 u - 5.25 u
= 15.75 u
Number of more chikoos in Basket X than Basket W
= 15.75 u - 10 u
= 5.75 u
5.75 u = 230
1 u = 230 ÷ 5.75 = 40
|
Basket V |
Basket W |
Basket X |
Before |
4 u |
10 u |
15.75 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
21.75 u |
Number of chikoos to be transferred from Basket W to Basket X so that the number of chikoos in Basket V would be the same as Basket W.
= 10 u - 4 u
= 6 u
= 6 x 40
= 240
Answer(s): 240