Tank X contained 3 times as many guppies as Tank Y. When 20% of the guppies in Tank X and 20% of the guppies in Tank Y were transferred to Tank Z, Tank Z had 80 guppies, which was 25% more guppies than before. How many less guppies were there in Tank Y than Tank X in the end?
|
Tank X |
Tank Y |
Tank Z |
Before |
3 u |
1 u |
4x0.8 = 3.2 u |
Change |
- 0.6 u |
- 0.2 u |
+ 1x0.8 = + 0.8 u |
After |
2.4 u |
0.8 u |
5x0.8 = 4 u |
Number of guppies that were transferred from Tank X to Tank Z
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Number of guppies that were transferred from Tank Y to Tank Z
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
25% =
25100 =
14Some 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 + 0.2 u
= 0.8 u
4 u = 80
1 u = 80 ÷ 4 = 20
Number of less guppies in Tank Y than Tank X
= 2.4 u - 0.8 u
= 1.6 u
= 1.6 x 20
= 32
Answer(s): 32