Tank X contained 2 times as many guppies as Tank Y. When 30% of the guppies in Tank X and 40% of the guppies in Tank Y were transferred to Tank Z, Tank Z had 60 guppies, which was 20% more guppies than before. How many more guppies were there in Tank Z than Tank Y in the end?
|
Tank X |
Tank Y |
Tank Z |
Before |
2 u |
1 u |
5x1 = 5 u |
Change |
- 0.6 u |
- 0.4 u |
+ 1x1 = + 1 u |
After |
1.4 u |
0.6 u |
6x1 = 6 u |
Number of guppies that were transferred from Tank X to Tank Z
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of guppies that were transferred from Tank Y to Tank Z
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank X and Tank Y were transferred to Tank Z. The total number of guppies transferred from Tank X and Tank Y into Tank Z is the same.
Total number of guppies transferred from Tank X and Tank Y into Tank Z
= 0.6 u + 0.4 u
= 1 u
6 u = 60
1 u = 60 ÷ 6 = 10
Number of more guppies in Tank Z than Tank Y
= 6 u - 0.6 u
= 5.4 u
= 5.4 x 10
= 54
Answer(s): 54