Tank F contained 3 times as many guppies as Tank G. When 30% of the guppies in Tank F and 20% of the guppies in Tank G were transferred to Tank H, Tank H had 66 guppies, which was 20% more guppies than before. How many less guppies were there in Tank G than Tank F in the end?
|
Tank F |
Tank G |
Tank H |
Before |
3 u |
1 u |
5x1.1 = 5.5 u |
Change |
- 0.9 u |
- 0.2 u |
+ 1x1.1 = + 1.1 u |
After |
2.1 u |
0.8 u |
6x1.1 = 6.6 u |
Number of guppies that were transferred from Tank F to Tank H
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank G to Tank H
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
20% =
20100 =
15Some guppies from Tank F and Tank G were transferred to Tank H. The total number of guppies transferred from Tank F and Tank G into Tank H is the same.
Total number of guppies transferred from Tank F and Tank G into Tank H
= 0.9 u + 0.2 u
= 1.1 u
6.6 u = 66
1 u = 66 ÷ 6.6 = 10
Number of less guppies in Tank G than Tank F
= 2.1 u - 0.8 u
= 1.3 u
= 1.3 x 10
= 13
Answer(s): 13