There were some persimmons in 3 baskets, L, M and N. 25% of the number of persimmons in Basket L was equal to 10% of the number of persimmons in Basket M. The number of persimmons in Basket N was 70% of the total number of persimmons. After Cole removed 10% of the persimmons in Basket N, there were 1455 more persimmons in Basket N than in Basket M. In the end, how many persimmons should be transferred from Basket M to Basket N so that the number of persimmons in Basket L would be the same as Basket M?
Basket L |
Basket M |
Basket N |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Basket L |
Basket M |
Basket 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 Basket L =
110 Basket M
Basket L : Basket M
4 : 10
2 : 5
70% =
70100 =
710The total number of persimmons in Basket L and Basket M is the combined repeated identity. Make the total number of persimmons in Box L and Basket M the same. LCM of 7 and 3 = 21
Number of persimmons removed from Basket N
=
10100 x 49 u
= 4.9 u
Number of persimmons left in Basket N
= 49 u - 4.9 u
= 44.1 u
Number of more persimmons in Basket N than Basket M
= 44.1 u - 15 u
= 29.1 u
29.1 u = 1455
1 u = 1455 ÷ 29.1 = 50
|
Basket L |
Basket M |
Basket N |
Before |
6 u |
15 u |
44.1 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
53.1 u |
Number of persimmons to be transferred from Basket M to Basket N so that the number of persimmons in Basket L would be the same as Basket M.
= 15 u - 6 u
= 9 u
= 9 x 50
= 450
Answer(s): 450