Tank D contained 2 times as many guppies as Tank E. When 10% of the guppies in Tank D and 40% of the guppies in Tank E were transferred to Tank F, Tank F had 36 guppies, which was 50% 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 |
2x0.6 = 1.2 u |
Change |
- 0.2 u |
- 0.4 u |
+ 1x0.6 = + 0.6 u |
After |
1.8 u |
0.6 u |
3x0.6 = 1.8 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
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some 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 + 0.4 u
= 0.6 u
1.8 u = 36
1 u = 36 ÷ 1.8 = 20
Number of more guppies in Tank F than Tank E
= 1.8 u - 0.6 u
= 1.2 u
= 1.2 x 20
= 24
Answer(s): 24