Tank H contained 4 times as many guppies as Tank J. When 20% of the guppies in Tank H and 40% of the guppies in Tank J were transferred to Tank K, Tank K had 216 guppies, which was 20% more guppies than before. How many less guppies were there in Tank J than Tank H in the end?
|
Tank H |
Tank J |
Tank K |
Before |
4 u |
1 u |
5x1.2 = 6 u |
Change |
- 0.8 u |
- 0.4 u |
+ 1x1.2 = + 1.2 u |
After |
3.2 u |
0.6 u |
6x1.2 = 7.2 u |
Number of guppies that were transferred from Tank H to Tank K
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of guppies that were transferred from Tank J to Tank K
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank H and Tank J were transferred to Tank K. The total number of guppies transferred from Tank H and Tank J into Tank K is the same.
Total number of guppies transferred from Tank H and Tank J into Tank K
= 0.8 u + 0.4 u
= 1.2 u
7.2 u = 216
1 u = 216 ÷ 7.2 = 30
Number of less guppies in Tank J than Tank H
= 3.2 u - 0.6 u
= 2.6 u
= 2.6 x 30
= 78
Answer(s): 78