Tank H contained 2 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 48 guppies, which was 20% more guppies than before. How many more guppies were there in Tank K than Tank J in the end?
|
Tank H |
Tank J |
Tank K |
Before |
2 u |
1 u |
5x0.8 = 4 u |
Change |
- 0.4 u |
- 0.4 u |
+ 1x0.8 = + 0.8 u |
After |
1.6 u |
0.6 u |
6x0.8 = 4.8 u |
Number of guppies that were transferred from Tank H to Tank K
= 20% x 2 u
=
20100 x 2 u
= 0.4 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
= 0.4 u + 0.4 u
= 0.8 u
4.8 u = 48
1 u = 48 ÷ 4.8 = 10
Number of more guppies in Tank K than Tank J
= 4.8 u - 0.6 u
= 4.2 u
= 4.2 x 10
= 42
Answer(s): 42