There were some kiwis in 3 bags, M, N and P. 25% of the number of kiwis in Bag M was equal to 10% of the number of kiwis in Bag N. The number of kiwis in Bag P was 60% of the total number of kiwis. After Ryan removed 10% of the kiwis in Bag P, there were 178 more kiwis in Bag P than in Bag N. In the end, how many kiwis should be transferred from Bag N to Bag P so that the number of kiwis in Bag M would be the same as Bag N?
Bag M |
Bag N |
Bag P |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag M |
Bag N |
Bag P |
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 M =
110 Bag N
Bag M : Bag N
4 : 10
2 : 5
60% =
60100 =
35The total number of kiwis in Bag M and Bag N is the combined repeated identity. Make the total number of kiwis in Box M and Bag N the same. LCM of 7 and 2 = 14
Number of kiwis removed from Bag P
=
10100 x 21 u
= 2.1 u
Number of kiwis left in Bag P
= 21 u - 2.1 u
= 18.9 u
Number of more kiwis in Bag P than Bag N
= 18.9 u - 10 u
= 8.9 u
8.9 u = 178
1 u = 178 ÷ 8.9 = 20
|
Bag M |
Bag N |
Bag P |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of kiwis to be transferred from Bag N to Bag P so that the number of kiwis in Bag M would be the same as Bag N.
= 10 u - 4 u
= 6 u
= 6 x 20
= 120
Answer(s): 120