There were some starfruits in 3 bags, J, K and L. 25% of the number of starfruits in Bag J was equal to 10% of the number of starfruits in Bag K. The number of starfruits in Bag L was 70% of the total number of starfruits. After Xavier removed 20% of the starfruits in Bag L, there were 484 more starfruits in Bag L than in Bag K. In the end, how many starfruits should be transferred from Bag K to Bag L so that the number of starfruits in Bag J would be the same as Bag K?
Bag J |
Bag K |
Bag L |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Bag J |
Bag K |
Bag L |
Before |
6 u |
15 u |
49 u |
Change |
|
|
- 9.8 u |
After |
6 u |
15 u |
39.2 u |
25% =
25100 =
14 10% =
10100 =
110 14 Bag J =
110 Bag K
Bag J : Bag K
4 : 10
2 : 5
70% =
70100 =
710The total number of starfruits in Bag J and Bag K is the combined repeated identity. Make the total number of starfruits in Box J and Bag K the same. LCM of 7 and 3 = 21
Number of starfruits removed from Bag L
=
20100 x 49 u
= 9.8 u
Number of starfruits left in Bag L
= 49 u - 9.8 u
= 39.2 u
Number of more starfruits in Bag L than Bag K
= 39.2 u - 15 u
= 24.2 u
24.2 u = 484
1 u = 484 ÷ 24.2 = 20
|
Bag J |
Bag K |
Bag L |
Before |
6 u |
15 u |
39.2 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
48.2 u |
Number of starfruits to be transferred from Bag K to Bag L so that the number of starfruits in Bag J would be the same as Bag K.
= 15 u - 6 u
= 9 u
= 9 x 20
= 180
Answer(s): 180