Tank W contained 4 times as many guppies as Tank X. When 40% of the guppies in Tank W and 20% of the guppies in Tank X were transferred to Tank Y, Tank Y had 180 guppies, which was 25% more guppies than before. How many more guppies were there in Tank Y than Tank X in the end?
|
Tank W |
Tank X |
Tank Y |
Before |
4 u |
1 u |
4x1.8 = 7.2 u |
Change |
- 1.6 u |
- 0.2 u |
+ 1x1.8 = + 1.8 u |
After |
2.4 u |
0.8 u |
5x1.8 = 9 u |
Number of guppies that were transferred from Tank W to Tank Y
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank X to Tank Y
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
25% =
25100 =
14Some guppies from Tank W and Tank X were transferred to Tank Y. The total number of guppies transferred from Tank W and Tank X into Tank Y is the same.
Total number of guppies transferred from Tank W and Tank X into Tank Y
= 1.6 u + 0.2 u
= 1.8 u
9 u = 180
1 u = 180 ÷ 9 = 20
Number of more guppies in Tank Y than Tank X
= 9 u - 0.8 u
= 8.2 u
= 8.2 x 20
= 164
Answer(s): 164