There were some starfruits in 3 baskets, B, C and D. 25% of the number of starfruits in Basket B was equal to 10% of the number of starfruits in Basket C. The number of starfruits in Basket D was 60% of the total number of starfruits. After Lee removed 20% of the starfruits in Basket D, there were 136 more starfruits in Basket D than in Basket C. In the end, how many starfruits should be transferred from Basket C to Basket D so that the number of starfruits in Basket B would be the same as Basket C?
Basket B |
Basket C |
Basket D |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket B |
Basket C |
Basket D |
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 Basket B =
110 Basket C
Basket B : Basket C
4 : 10
2 : 5
60% =
60100 =
35The total number of starfruits in Basket B and Basket C is the combined repeated identity. Make the total number of starfruits in Box B and Basket C the same. LCM of 7 and 2 = 14
Number of starfruits removed from Basket D
=
20100 x 21 u
= 4.2 u
Number of starfruits left in Basket D
= 21 u - 4.2 u
= 16.8 u
Number of more starfruits in Basket D than Basket C
= 16.8 u - 10 u
= 6.8 u
6.8 u = 136
1 u = 136 ÷ 6.8 = 20
|
Basket B |
Basket C |
Basket D |
Before |
4 u |
10 u |
16.8 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
22.8 u |
Number of starfruits to be transferred from Basket C to Basket D so that the number of starfruits in Basket B would be the same as Basket C.
= 10 u - 4 u
= 6 u
= 6 x 20
= 120
Answer(s): 120