Tank W contained 2 times as many guppies as Tank X. When 30% of the guppies in Tank W and 20% of the guppies in Tank X were transferred to Tank Y, Tank Y had 24 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 |
2 u |
1 u |
2x0.8 = 1.6 u |
Change |
- 0.6 u |
- 0.2 u |
+ 1x0.8 = + 0.8 u |
After |
1.4 u |
0.8 u |
3x0.8 = 2.4 u |
Number of guppies that were transferred from Tank W to Tank Y
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of guppies that were transferred from Tank X to Tank Y
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
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
= 0.6 u + 0.2 u
= 0.8 u
2.4 u = 24
1 u = 24 ÷ 2.4 = 10
Number of more guppies in Tank Y than Tank X
= 2.4 u - 0.8 u
= 1.6 u
= 1.6 x 10
= 16
Answer(s): 16