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