There were some chikoos in 3 bags, E, F and G. 25% of the number of chikoos in Bag E was equal to 10% of the number of chikoos in Bag F. The number of chikoos in Bag G was 60% of the total number of chikoos. After Albert removed 20% of the chikoos in Bag G, there were 272 more chikoos in Bag G than in Bag F. In the end, how many chikoos should be transferred from Bag F to Bag G so that the number of chikoos in Bag E would be the same as Bag F?
Bag E |
Bag F |
Bag G |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag E |
Bag F |
Bag G |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 4.2 u |
After |
4 u |
10 u |
16.8 u |
25% =
25100 =
14 10% =
10100 =
110 14 Bag E =
110 Bag F
Bag E : Bag F
4 : 10
2 : 5
60% =
60100 =
35The total number of chikoos in Bag E and Bag F is the combined repeated identity. Make the total number of chikoos in Box E and Bag F the same. LCM of 7 and 2 = 14
Number of chikoos removed from Bag G
=
20100 x 21 u
= 4.2 u
Number of chikoos left in Bag G
= 21 u - 4.2 u
= 16.8 u
Number of more chikoos in Bag G than Bag F
= 16.8 u - 10 u
= 6.8 u
6.8 u = 272
1 u = 272 ÷ 6.8 = 40
|
Bag E |
Bag F |
Bag G |
Before |
4 u |
10 u |
16.8 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
22.8 u |
Number of chikoos to be transferred from Bag F to Bag G so that the number of chikoos in Bag E would be the same as Bag F.
= 10 u - 4 u
= 6 u
= 6 x 40
= 240
Answer(s): 240