There were some passion fruits in 3 baskets, C, D and E. 25% of the number of passion fruits in Basket C was equal to 10% of the number of passion fruits in Basket D. The number of passion fruits in Basket E was 60% of the total number of passion fruits. After Howard removed 20% of the passion fruits in Basket E, there were 340 more passion fruits in Basket E than in Basket D. In the end, how many passion fruits should be transferred from Basket D to Basket E so that the number of passion fruits in Basket C would be the same as Basket D?
Basket C |
Basket D |
Basket E |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket C |
Basket D |
Basket E |
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 C =
110 Basket D
Basket C : Basket D
4 : 10
2 : 5
60% =
60100 =
35The total number of passion fruits in Basket C and Basket D is the combined repeated identity. Make the total number of passion fruits in Box C and Basket D the same. LCM of 7 and 2 = 14
Number of passion fruits removed from Basket E
=
20100 x 21 u
= 4.2 u
Number of passion fruits left in Basket E
= 21 u - 4.2 u
= 16.8 u
Number of more passion fruits in Basket E than Basket D
= 16.8 u - 10 u
= 6.8 u
6.8 u = 340
1 u = 340 ÷ 6.8 = 50
|
Basket C |
Basket D |
Basket E |
Before |
4 u |
10 u |
16.8 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
22.8 u |
Number of passion fruits to be transferred from Basket D to Basket E so that the number of passion fruits in Basket C would be the same as Basket D.
= 10 u - 4 u
= 6 u
= 6 x 50
= 300
Answer(s): 300