Tank D contained 3 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 72 guppies, which was 20% more guppies than before. How many less guppies were there in Tank E than Tank D in the end?
|
Tank D |
Tank E |
Tank F |
Before |
3 u |
1 u |
5x0.6 = 3 u |
Change |
- 0.3 u |
- 0.3 u |
+ 1x0.6 = + 0.6 u |
After |
2.7 u |
0.7 u |
6x0.6 = 3.6 u |
Number of guppies that were transferred from Tank D to Tank F
= 10% x 3 u
=
10100 x 3 u
= 0.3 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
= 0.3 u + 0.3 u
= 0.6 u
3.6 u = 72
1 u = 72 ÷ 3.6 = 20
Number of less guppies in Tank E than Tank D
= 2.7 u - 0.7 u
= 2 u
= 2 x 20
= 40
Answer(s): 40