Tank W contained 2 times as many guppies as Tank X. When 30% of the guppies in Tank W and 10% of the guppies in Tank X were transferred to Tank Y, Tank Y had 42 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 |
2 u |
1 u |
5x0.7 = 3.5 u |
Change |
- 0.6 u |
- 0.1 u |
+ 1x0.7 = + 0.7 u |
After |
1.4 u |
0.9 u |
6x0.7 = 4.2 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
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 0.6 u + 0.1 u
= 0.7 u
4.2 u = 42
1 u = 42 ÷ 4.2 = 10
Number of more guppies in Tank Y than Tank X
= 4.2 u - 0.9 u
= 3.3 u
= 3.3 x 10
= 33
Answer(s): 33