There were some persimmons in 3 bags, L, M and N. 25% of the number of persimmons in Bag L was equal to 10% of the number of persimmons in Bag M. The number of persimmons in Bag N was 60% of the total number of persimmons. After Ryan removed 10% of the persimmons in Bag N, there were 356 more persimmons in Bag N than in Bag M. In the end, how many persimmons should be transferred from Bag M to Bag N so that the number of persimmons in Bag L would be the same as Bag M?
Bag L |
Bag M |
Bag N |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag L |
Bag M |
Bag N |
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 Bag L =
110 Bag M
Bag L : Bag M
4 : 10
2 : 5
60% =
60100 =
35The total number of persimmons in Bag L and Bag M is the combined repeated identity. Make the total number of persimmons in Box L and Bag M the same. LCM of 7 and 2 = 14
Number of persimmons removed from Bag N
=
10100 x 21 u
= 2.1 u
Number of persimmons left in Bag N
= 21 u - 2.1 u
= 18.9 u
Number of more persimmons in Bag N than Bag M
= 18.9 u - 10 u
= 8.9 u
8.9 u = 356
1 u = 356 ÷ 8.9 = 40
|
Bag L |
Bag M |
Bag N |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of persimmons to be transferred from Bag M to Bag N so that the number of persimmons in Bag L would be the same as Bag M.
= 10 u - 4 u
= 6 u
= 6 x 40
= 240
Answer(s): 240