Tank F contained 4 times as many guppies as Tank G. When 40% of the guppies in Tank F and 20% of the guppies in Tank G were transferred to Tank H, Tank H had 108 guppies, which was 50% 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 |
4 u |
1 u |
2x1.8 = 3.6 u |
Change |
- 1.6 u |
- 0.2 u |
+ 1x1.8 = + 1.8 u |
After |
2.4 u |
0.8 u |
3x1.8 = 5.4 u |
Number of guppies that were transferred from Tank F to Tank H
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank G to Tank H
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
50% =
50100 =
12Some 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
= 1.6 u + 0.2 u
= 1.8 u
5.4 u = 108
1 u = 108 ÷ 5.4 = 20
Number of less guppies in Tank G than Tank F
= 2.4 u - 0.8 u
= 1.6 u
= 1.6 x 20
= 32
Answer(s): 32