Tank X contained 4 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 96 guppies, which was 20% 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 |
4 u |
1 u |
5x1.6 = 8 u |
Change |
- 1.2 u |
- 0.4 u |
+ 1x1.6 = + 1.6 u |
After |
2.8 u |
0.6 u |
6x1.6 = 9.6 u |
Number of guppies that were transferred from Tank X to Tank Z
= 30% x 4 u
=
30100 x 4 u
= 1.2 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
= 1.2 u + 0.4 u
= 1.6 u
9.6 u = 96
1 u = 96 ÷ 9.6 = 10
Number of less guppies in Tank Y than Tank X
= 2.8 u - 0.6 u
= 2.2 u
= 2.2 x 10
= 22
Answer(s): 22