Tank D contained 2 times as many guppies as Tank E. When 10% of the guppies in Tank D and 30% of the guppies in Tank E were transferred to Tank F, Tank F had 50 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 |
2 u |
1 u |
4x0.5 = 2 u |
Change |
- 0.2 u |
- 0.3 u |
+ 1x0.5 = + 0.5 u |
After |
1.8 u |
0.7 u |
5x0.5 = 2.5 u |
Number of guppies that were transferred from Tank D to Tank F
= 10% x 2 u
=
10100 x 2 u
= 0.2 u
Number of guppies that were transferred from Tank E to Tank F
= 30% x 1 u
=
30100 x 1 u
= 0.3 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
= 0.2 u + 0.3 u
= 0.5 u
2.5 u = 50
1 u = 50 ÷ 2.5 = 20
Number of more guppies in Tank F than Tank E
= 2.5 u - 0.7 u
= 1.8 u
= 1.8 x 20
= 36
Answer(s): 36