Tank X contained 4 times as many guppies as Tank Y. When 40% of the guppies in Tank X and 10% of the guppies in Tank Y were transferred to Tank Z, Tank Z had 170 guppies, which was 25% 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 |
4 u |
1 u |
4x1.7 = 6.8 u |
Change |
- 1.6 u |
- 0.1 u |
+ 1x1.7 = + 1.7 u |
After |
2.4 u |
0.9 u |
5x1.7 = 8.5 u |
Number of guppies that were transferred from Tank X to Tank Z
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank Y to Tank Z
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 1.6 u + 0.1 u
= 1.7 u
8.5 u = 170
1 u = 170 ÷ 8.5 = 20
Number of more guppies in Tank Z than Tank Y
= 8.5 u - 0.9 u
= 7.6 u
= 7.6 x 20
= 152
Answer(s): 152