There were some kiwis in 3 baskets, P, Q and R. 25% of the number of kiwis in Basket P was equal to 10% of the number of kiwis in Basket Q. The number of kiwis in Basket R was 60% of the total number of kiwis. After Pierre removed 25% of the kiwis in Basket R, there were 230 more kiwis in Basket R than in Basket Q. In the end, how many kiwis should be transferred from Basket Q to Basket R so that the number of kiwis in Basket P would be the same as Basket Q?
Basket P |
Basket Q |
Basket R |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket P |
Basket Q |
Basket R |
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 Basket P =
110 Basket Q
Basket P : Basket Q
4 : 10
2 : 5
60% =
60100 =
35The total number of kiwis in Basket P and Basket Q is the combined repeated identity. Make the total number of kiwis in Box P and Basket Q the same. LCM of 7 and 2 = 14
Number of kiwis removed from Basket R
=
25100 x 21 u
= 5.25 u
Number of kiwis left in Basket R
= 21 u - 5.25 u
= 15.75 u
Number of more kiwis in Basket R than Basket Q
= 15.75 u - 10 u
= 5.75 u
5.75 u = 230
1 u = 230 ÷ 5.75 = 40
|
Basket P |
Basket Q |
Basket R |
Before |
4 u |
10 u |
15.75 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
21.75 u |
Number of kiwis to be transferred from Basket Q to Basket R so that the number of kiwis in Basket P would be the same as Basket Q.
= 10 u - 4 u
= 6 u
= 6 x 40
= 240
Answer(s): 240