Tank G contained 4 times as many guppies as Tank H. When 10% of the guppies in Tank G and 10% 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 less guppies were there in Tank H than Tank G in the end?
|
Tank G |
Tank H |
Tank J |
Before |
4 u |
1 u |
5x0.5 = 2.5 u |
Change |
- 0.4 u |
- 0.1 u |
+ 1x0.5 = + 0.5 u |
After |
3.6 u |
0.9 u |
6x0.5 = 3 u |
Number of guppies that were transferred from Tank G to Tank J
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank H to Tank J
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 0.4 u + 0.1 u
= 0.5 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of less guppies in Tank H than Tank G
= 3.6 u - 0.9 u
= 2.7 u
= 2.7 x 20
= 54
Answer(s): 54