There were some starfruits in 3 bags, N, P and Q. 25% of the number of starfruits in Bag N was equal to 10% of the number of starfruits in Bag P. The number of starfruits in Bag Q was 60% of the total number of starfruits. After Tom removed 25% of the starfruits in Bag Q, there were 115 more starfruits in Bag Q than in Bag P. In the end, how many starfruits should be transferred from Bag P to Bag Q so that the number of starfruits in Bag N would be the same as Bag P?
Bag N |
Bag P |
Bag Q |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag N |
Bag P |
Bag Q |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 5.25 u |
After |
4 u |
10 u |
15.75 u |
25% =
25100 =
14 10% =
10100 =
110 14 Bag N =
110 Bag P
Bag N : Bag P
4 : 10
2 : 5
60% =
60100 =
35The total number of starfruits in Bag N and Bag P is the combined repeated identity. Make the total number of starfruits in Box N and Bag P the same. LCM of 7 and 2 = 14
Number of starfruits removed from Bag Q
=
25100 x 21 u
= 5.25 u
Number of starfruits left in Bag Q
= 21 u - 5.25 u
= 15.75 u
Number of more starfruits in Bag Q than Bag P
= 15.75 u - 10 u
= 5.75 u
5.75 u = 115
1 u = 115 ÷ 5.75 = 20
|
Bag N |
Bag P |
Bag Q |
Before |
4 u |
10 u |
15.75 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
21.75 u |
Number of starfruits to be transferred from Bag P to Bag Q so that the number of starfruits in Bag N would be the same as Bag P.
= 10 u - 4 u
= 6 u
= 6 x 20
= 120
Answer(s): 120