Tank D contained 4 times as many guppies as Tank E. When 30% of the guppies in Tank D and 20% of the guppies in Tank E were transferred to Tank F, Tank F had 70 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 |
4x1.4 = 5.6 u |
Change |
- 1.2 u |
- 0.2 u |
+ 1x1.4 = + 1.4 u |
After |
2.8 u |
0.8 u |
5x1.4 = 7 u |
Number of guppies that were transferred from Tank D to Tank F
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank E to Tank F
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 1.2 u + 0.2 u
= 1.4 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of more guppies in Tank F than Tank E
= 7 u - 0.8 u
= 6.2 u
= 6.2 x 10
= 62
Answer(s): 62