There were some lemons in 3 bags, H, J and K. 25% of the number of lemons in Bag H was equal to 10% of the number of lemons in Bag J. The number of lemons in Bag K was 60% of the total number of lemons. After Bryan removed 10% of the lemons in Bag K, there were 267 more lemons in Bag K than in Bag J. In the end, how many lemons should be transferred from Bag J to Bag K so that the number of lemons in Bag H would be the same as Bag J?
Bag H |
Bag J |
Bag K |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag H |
Bag J |
Bag K |
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 H =
110 Bag J
Bag H : Bag J
4 : 10
2 : 5
60% =
60100 =
35The total number of lemons in Bag H and Bag J is the combined repeated identity. Make the total number of lemons in Box H and Bag J the same. LCM of 7 and 2 = 14
Number of lemons removed from Bag K
=
10100 x 21 u
= 2.1 u
Number of lemons left in Bag K
= 21 u - 2.1 u
= 18.9 u
Number of more lemons in Bag K than Bag J
= 18.9 u - 10 u
= 8.9 u
8.9 u = 267
1 u = 267 ÷ 8.9 = 30
|
Bag H |
Bag J |
Bag K |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of lemons to be transferred from Bag J to Bag K so that the number of lemons in Bag H would be the same as Bag J.
= 10 u - 4 u
= 6 u
= 6 x 30
= 180
Answer(s): 180