There were some guavas in 3 baskets, A, B and C. 20% of the number of guavas in Basket A was equal to 10% of the number of guavas in Basket B. The number of guavas in Basket C was 60% of the total number of guavas. After Owen removed 10% of the guavas in Basket C, there were 41 more guavas in Basket C than in Basket B. In the end, how many guavas should be transferred from Basket B to Basket C so that the number of guavas in Basket A would be the same as Basket B?
Basket A |
Basket B |
Basket C |
1x2 |
2x2 |
|
2x3 |
3x3 |
2 u |
4 u |
9 u |
|
Basket A |
Basket B |
Basket C |
Before |
2 u |
4 u |
9 u |
Change |
|
|
- 0.9 u |
After |
2 u |
4 u |
8.1 u |
20% =
20100 =
15 10% =
10100 =
110 15 Basket A =
110 Basket B
Basket A : Basket B
5 : 10
1 : 2
60% =
60100 =
35The total number of guavas in Basket A and Basket B is the combined repeated identity. Make the total number of guavas in Box A and Basket B the same. LCM of 3 and 2 = 6
Number of guavas removed from Basket C
=
10100 x 9 u
= 0.9 u
Number of guavas left in Basket C
= 9 u - 0.9 u
= 8.1 u
Number of more guavas in Basket C than Basket B
= 8.1 u - 4 u
= 4.1 u
4.1 u = 41
1 u = 41 ÷ 4.1 = 10
|
Basket A |
Basket B |
Basket C |
Before |
2 u |
4 u |
8.1 u |
Change |
|
- 2 u |
+ 2 u |
After |
2 u |
2 u |
10.1 u |
Number of guavas to be transferred from Basket B to Basket C so that the number of guavas in Basket A would be the same as Basket B.
= 4 u - 2 u
= 2 u
= 2 x 10
= 20
Answer(s): 20