Tank G contained 4 times as many guppies as Tank H. When 40% of the guppies in Tank G and 10% of the guppies in Tank H were transferred to Tank J, Tank J had 102 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 |
5x1.7 = 8.5 u |
Change |
- 1.6 u |
- 0.1 u |
+ 1x1.7 = + 1.7 u |
After |
2.4 u |
0.9 u |
6x1.7 = 10.2 u |
Number of guppies that were transferred from Tank G to Tank J
= 40% x 4 u
=
40100 x 4 u
= 1.6 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
= 1.6 u + 0.1 u
= 1.7 u
10.2 u = 102
1 u = 102 ÷ 10.2 = 10
Number of less guppies in Tank H than Tank G
= 2.4 u - 0.9 u
= 1.5 u
= 1.5 x 10
= 15
Answer(s): 15