Tank X contained 3 times as many guppies as Tank Y. When 10% of the guppies in Tank X and 40% of the guppies in Tank Y were transferred to Tank Z, Tank Z had 126 guppies, which was 20% more guppies than before. How many more guppies were there in Tank Z than Tank Y in the end?
|
Tank X |
Tank Y |
Tank Z |
Before |
3 u |
1 u |
5x0.7 = 3.5 u |
Change |
- 0.3 u |
- 0.4 u |
+ 1x0.7 = + 0.7 u |
After |
2.7 u |
0.6 u |
6x0.7 = 4.2 u |
Number of guppies that were transferred from Tank X to Tank Z
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of guppies that were transferred from Tank Y to Tank Z
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank X and Tank Y were transferred to Tank Z. The total number of guppies transferred from Tank X and Tank Y into Tank Z is the same.
Total number of guppies transferred from Tank X and Tank Y into Tank Z
= 0.3 u + 0.4 u
= 0.7 u
4.2 u = 126
1 u = 126 ÷ 4.2 = 30
Number of more guppies in Tank Z than Tank Y
= 4.2 u - 0.6 u
= 3.6 u
= 3.6 x 30
= 108
Answer(s): 108