Tank W contained 4 times as many guppies as Tank X. When 30% of the guppies in Tank W and 40% of the guppies in Tank X were transferred to Tank Y, Tank Y had 192 guppies, which was 20% 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 |
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 W to Tank Y
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank X to Tank Y
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some 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
= 1.2 u + 0.4 u
= 1.6 u
9.6 u = 192
1 u = 192 ÷ 9.6 = 20
Number of more guppies in Tank Y than Tank X
= 9.6 u - 0.6 u
= 9 u
= 9 x 20
= 180
Answer(s): 180