Tank D contained 4 times as many guppies as Tank E. When 50% of the guppies in Tank D and 10% of the guppies in Tank E were transferred to Tank F, Tank F had 420 guppies, which was 25% more guppies than before. How many more guppies were there in Tank F than Tank E in the end?
|
Tank D |
Tank E |
Tank F |
Before |
4 u |
1 u |
4x2.1 = 8.4 u |
Change |
- 2 u |
- 0.1 u |
+ 1x2.1 = + 2.1 u |
After |
2 u |
0.9 u |
5x2.1 = 10.5 u |
Number of guppies that were transferred from Tank D to Tank F
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of guppies that were transferred from Tank E to Tank F
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
25% =
25100 =
14Some guppies from Tank D and Tank E were transferred to Tank F. The total number of guppies transferred from Tank D and Tank E into Tank F is the same.
Total number of guppies transferred from Tank D and Tank E into Tank F
= 2 u + 0.1 u
= 2.1 u
10.5 u = 420
1 u = 420 ÷ 10.5 = 40
Number of more guppies in Tank F than Tank E
= 10.5 u - 0.9 u
= 9.6 u
= 9.6 x 40
= 384
Answer(s): 384