Tank E contained 2 times as many guppies as Tank F. When 20% of the guppies in Tank E and 40% of the guppies in Tank F were transferred to Tank G, Tank G had 96 guppies, which was 50% 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 |
2 u |
1 u |
2x0.8 = 1.6 u |
Change |
- 0.4 u |
- 0.4 u |
+ 1x0.8 = + 0.8 u |
After |
1.6 u |
0.6 u |
3x0.8 = 2.4 u |
Number of guppies that were transferred from Tank E to Tank G
= 20% x 2 u
=
20100 x 2 u
= 0.4 u
Number of guppies that were transferred from Tank F to Tank G
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some 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
= 0.4 u + 0.4 u
= 0.8 u
2.4 u = 96
1 u = 96 ÷ 2.4 = 40
Number of more guppies in Tank G than Tank F
= 2.4 u - 0.6 u
= 1.8 u
= 1.8 x 40
= 72
Answer(s): 72