There were some passion fruits in 3 baskets, T, U and V. 25% of the number of passion fruits in Basket T was equal to 10% of the number of passion fruits in Basket U. The number of passion fruits in Basket V was 70% of the total number of passion fruits. After Tom removed 20% of the passion fruits in Basket V, there were 484 more passion fruits in Basket V than in Basket U. In the end, how many passion fruits should be transferred from Basket U to Basket V so that the number of passion fruits in Basket T would be the same as Basket U?
Basket T |
Basket U |
Basket V |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Basket T |
Basket U |
Basket V |
Before |
6 u |
15 u |
49 u |
Change |
|
|
- 9.8 u |
After |
6 u |
15 u |
39.2 u |
25% =
25100 =
14 10% =
10100 =
110 14 Basket T =
110 Basket U
Basket T : Basket U
4 : 10
2 : 5
70% =
70100 =
710The total number of passion fruits in Basket T and Basket U is the combined repeated identity. Make the total number of passion fruits in Box T and Basket U the same. LCM of 7 and 3 = 21
Number of passion fruits removed from Basket V
=
20100 x 49 u
= 9.8 u
Number of passion fruits left in Basket V
= 49 u - 9.8 u
= 39.2 u
Number of more passion fruits in Basket V than Basket U
= 39.2 u - 15 u
= 24.2 u
24.2 u = 484
1 u = 484 ÷ 24.2 = 20
|
Basket T |
Basket U |
Basket V |
Before |
6 u |
15 u |
39.2 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
48.2 u |
Number of passion fruits to be transferred from Basket U to Basket V so that the number of passion fruits in Basket T would be the same as Basket U.
= 15 u - 6 u
= 9 u
= 9 x 20
= 180
Answer(s): 180