Tank D contained 2 times as many guppies as Tank E. When 40% of the guppies in Tank D and 30% of the guppies in Tank E were transferred to Tank F, Tank F had 132 guppies, which was 50% more guppies than before. How many more guppies were there in Tank F than Tank E in the end?
|
Tank D |
Tank E |
Tank F |
Before |
2 u |
1 u |
2x1.1 = 2.2 u |
Change |
- 0.8 u |
- 0.3 u |
+ 1x1.1 = + 1.1 u |
After |
1.2 u |
0.7 u |
3x1.1 = 3.3 u |
Number of guppies that were transferred from Tank D to Tank F
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Number of guppies that were transferred from Tank E to Tank F
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
50% =
50100 =
12Some guppies from Tank D and Tank E were transferred to Tank F. The total number of guppies transferred from Tank D and Tank E into Tank F is the same.
Total number of guppies transferred from Tank D and Tank E into Tank F
= 0.8 u + 0.3 u
= 1.1 u
3.3 u = 132
1 u = 132 ÷ 3.3 = 40
Number of more guppies in Tank F than Tank E
= 3.3 u - 0.7 u
= 2.6 u
= 2.6 x 40
= 104
Answer(s): 104