Tank F contained 2 times as many guppies as Tank G. When 30% of the guppies in Tank F and 10% of the guppies in Tank G were transferred to Tank H, Tank H had 21 guppies, which was 50% more guppies than before. How many more guppies were there in Tank H than Tank G in the end?
|
Tank F |
Tank G |
Tank H |
Before |
2 u |
1 u |
2x0.7 = 1.4 u |
Change |
- 0.6 u |
- 0.1 u |
+ 1x0.7 = + 0.7 u |
After |
1.4 u |
0.9 u |
3x0.7 = 2.1 u |
Number of guppies that were transferred from Tank F to Tank H
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of guppies that were transferred from Tank G to Tank H
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 0.6 u + 0.1 u
= 0.7 u
2.1 u = 21
1 u = 21 ÷ 2.1 = 10
Number of more guppies in Tank H than Tank G
= 2.1 u - 0.9 u
= 1.2 u
= 1.2 x 10
= 12
Answer(s): 12