Tank G contained 2 times as many guppies as Tank H. When 10% of the guppies in Tank G and 30% of the guppies in Tank H were transferred to Tank J, Tank J had 60 guppies, which was 20% more guppies than before. How many more guppies were there in Tank J than Tank H in the end?
|
Tank G |
Tank H |
Tank J |
Before |
2 u |
1 u |
5x0.5 = 2.5 u |
Change |
- 0.2 u |
- 0.3 u |
+ 1x0.5 = + 0.5 u |
After |
1.8 u |
0.7 u |
6x0.5 = 3 u |
Number of guppies that were transferred from Tank G to Tank J
= 10% x 2 u
=
10100 x 2 u
= 0.2 u
Number of guppies that were transferred from Tank H to Tank J
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
20% =
20100 =
15Some guppies from Tank G and Tank H were transferred to Tank J. The total number of guppies transferred from Tank G and Tank H into Tank J is the same.
Total number of guppies transferred from Tank G and Tank H into Tank J
= 0.2 u + 0.3 u
= 0.5 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of more guppies in Tank J than Tank H
= 3 u - 0.7 u
= 2.3 u
= 2.3 x 20
= 46
Answer(s): 46