Tank D contained 3 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 96 guppies, which was 20% 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 |
3 u |
1 u |
5x1.6 = 8 u |
Change |
- 1.5 u |
- 0.1 u |
+ 1x1.6 = + 1.6 u |
After |
1.5 u |
0.9 u |
6x1.6 = 9.6 u |
Number of guppies that were transferred from Tank D to Tank F
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
Number of guppies that were transferred from Tank E to Tank F
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
20% =
20100 =
15Some 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
= 1.5 u + 0.1 u
= 1.6 u
9.6 u = 96
1 u = 96 ÷ 9.6 = 10
Number of more guppies in Tank F than Tank E
= 9.6 u - 0.9 u
= 8.7 u
= 8.7 x 10
= 87
Answer(s): 87