There were some kiwis in 3 bags, F, G and H. 25% of the number of kiwis in Bag F was equal to 10% of the number of kiwis in Bag G. The number of kiwis in Bag H was 70% of the total number of kiwis. After Wesley removed 10% of the kiwis in Bag H, there were 291 more kiwis in Bag H than in Bag G. In the end, how many kiwis should be transferred from Bag G to Bag H so that the number of kiwis in Bag F would be the same as Bag G?
Bag F |
Bag G |
Bag H |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Bag F |
Bag G |
Bag H |
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 Bag F =
110 Bag G
Bag F : Bag G
4 : 10
2 : 5
70% =
70100 =
710The total number of kiwis in Bag F and Bag G is the combined repeated identity. Make the total number of kiwis in Box F and Bag G the same. LCM of 7 and 3 = 21
Number of kiwis removed from Bag H
=
10100 x 49 u
= 4.9 u
Number of kiwis left in Bag H
= 49 u - 4.9 u
= 44.1 u
Number of more kiwis in Bag H than Bag G
= 44.1 u - 15 u
= 29.1 u
29.1 u = 291
1 u = 291 ÷ 29.1 = 10
|
Bag F |
Bag G |
Bag H |
Before |
6 u |
15 u |
44.1 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
53.1 u |
Number of kiwis to be transferred from Bag G to Bag H so that the number of kiwis in Bag F would be the same as Bag G.
= 15 u - 6 u
= 9 u
= 9 x 10
= 90
Answer(s): 90