Tank G contained 3 times as many guppies as Tank H. When 30% of the guppies in Tank G and 30% of the guppies in Tank H were transferred to Tank J, Tank J had 180 guppies, which was 25% 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 |
3 u |
1 u |
4x1.2 = 4.8 u |
Change |
- 0.9 u |
- 0.3 u |
+ 1x1.2 = + 1.2 u |
After |
2.1 u |
0.7 u |
5x1.2 = 6 u |
Number of guppies that were transferred from Tank G to Tank J
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank H to Tank J
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
25% =
25100 =
14Some 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
= 0.9 u + 0.3 u
= 1.2 u
6 u = 180
1 u = 180 ÷ 6 = 30
Number of more guppies in Tank J than Tank H
= 6 u - 0.7 u
= 5.3 u
= 5.3 x 30
= 159
Answer(s): 159