There were some pomegranates in 3 baskets, K, L and M. 25% of the number of pomegranates in Basket K was equal to 10% of the number of pomegranates in Basket L. The number of pomegranates in Basket M was 60% of the total number of pomegranates. After Xavier removed 10% of the pomegranates in Basket M, there were 89 more pomegranates in Basket M than in Basket L. In the end, how many pomegranates should be transferred from Basket L to Basket M so that the number of pomegranates in Basket K would be the same as Basket L?
Basket K |
Basket L |
Basket M |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket K |
Basket L |
Basket M |
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 Basket K =
110 Basket L
Basket K : Basket L
4 : 10
2 : 5
60% =
60100 =
35The total number of pomegranates in Basket K and Basket L is the combined repeated identity. Make the total number of pomegranates in Box K and Basket L the same. LCM of 7 and 2 = 14
Number of pomegranates removed from Basket M
=
10100 x 21 u
= 2.1 u
Number of pomegranates left in Basket M
= 21 u - 2.1 u
= 18.9 u
Number of more pomegranates in Basket M than Basket L
= 18.9 u - 10 u
= 8.9 u
8.9 u = 89
1 u = 89 ÷ 8.9 = 10
|
Basket K |
Basket L |
Basket M |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of pomegranates to be transferred from Basket L to Basket M so that the number of pomegranates in Basket K would be the same as Basket L.
= 10 u - 4 u
= 6 u
= 6 x 10
= 60
Answer(s): 60