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