Tank E contained 3 times as many guppies as Tank F. When 30% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 200 guppies, which was 25% more guppies than before. How many more guppies were there in Tank G than Tank F in the end?
|
Tank E |
Tank F |
Tank G |
Before |
3 u |
1 u |
4x1 = 4 u |
Change |
- 0.9 u |
- 0.1 u |
+ 1x1 = + 1 u |
After |
2.1 u |
0.9 u |
5x1 = 5 u |
Number of guppies that were transferred from Tank E to Tank G
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank F to Tank G
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
25% =
25100 =
14Some guppies from Tank E and Tank F were transferred to Tank G. The total number of guppies transferred from Tank E and Tank F into Tank G is the same.
Total number of guppies transferred from Tank E and Tank F into Tank G
= 0.9 u + 0.1 u
= 1 u
5 u = 200
1 u = 200 ÷ 5 = 40
Number of more guppies in Tank G than Tank F
= 5 u - 0.9 u
= 4.1 u
= 4.1 x 40
= 164
Answer(s): 164