There were some lemons in 3 bags, L, M and N. 25% of the number of lemons in Bag L was equal to 10% of the number of lemons in Bag M. The number of lemons in Bag N was 60% of the total number of lemons. After Flynn removed 20% of the lemons in Bag N, there were 340 more lemons in Bag N than in Bag M. In the end, how many lemons should be transferred from Bag M to Bag N so that the number of lemons 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 |
|
|
- 4.2 u |
After |
4 u |
10 u |
16.8 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 lemons in Bag L and Bag M is the combined repeated identity. Make the total number of lemons in Box L and Bag M the same. LCM of 7 and 2 = 14
Number of lemons removed from Bag N
=
20100 x 21 u
= 4.2 u
Number of lemons left in Bag N
= 21 u - 4.2 u
= 16.8 u
Number of more lemons in Bag N than Bag M
= 16.8 u - 10 u
= 6.8 u
6.8 u = 340
1 u = 340 ÷ 6.8 = 50
|
Bag L |
Bag M |
Bag N |
Before |
4 u |
10 u |
16.8 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
22.8 u |
Number of lemons to be transferred from Bag M to Bag N so that the number of lemons in Bag L would be the same as Bag M.
= 10 u - 4 u
= 6 u
= 6 x 50
= 300
Answer(s): 300