Tank D contained 3 times as many guppies as Tank E. When 40% of the guppies in Tank D and 30% of the guppies in Tank E were transferred to Tank F, Tank F had 270 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 |
5x1.5 = 7.5 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
1.8 u |
0.7 u |
6x1.5 = 9 u |
Number of guppies that were transferred from Tank D to Tank F
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Number of guppies that were transferred from Tank E to Tank F
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
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
= 1.2 u + 0.3 u
= 1.5 u
9 u = 270
1 u = 270 ÷ 9 = 30
Number of more guppies in Tank F than Tank E
= 9 u - 0.7 u
= 8.3 u
= 8.3 x 30
= 249
Answer(s): 249