Tank W contained 4 times as many guppies as Tank X. When 50% of the guppies in Tank W and 40% of the guppies in Tank X were transferred to Tank Y, Tank Y had 288 guppies, which was 50% 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 |
2x2.4 = 4.8 u |
Change |
- 2 u |
- 0.4 u |
+ 1x2.4 = + 2.4 u |
After |
2 u |
0.6 u |
3x2.4 = 7.2 u |
Number of guppies that were transferred from Tank W to Tank Y
= 50% x 4 u
=
50100 x 4 u
= 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
50% =
50100 =
12Some 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
= 2 u + 0.4 u
= 2.4 u
7.2 u = 288
1 u = 288 ÷ 7.2 = 40
Number of more guppies in Tank Y than Tank X
= 7.2 u - 0.6 u
= 6.6 u
= 6.6 x 40
= 264
Answer(s): 264