Tank S contained 2 times as many guppies as Tank T. When 30% of the guppies in Tank S and 40% of the guppies in Tank T were transferred to Tank U, Tank U had 120 guppies, which was 50% more guppies than before. How many more guppies were there in Tank U than Tank T in the end?
|
Tank S |
Tank T |
Tank U |
Before |
2 u |
1 u |
2x1 = 2 u |
Change |
- 0.6 u |
- 0.4 u |
+ 1x1 = + 1 u |
After |
1.4 u |
0.6 u |
3x1 = 3 u |
Number of guppies that were transferred from Tank S to Tank U
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of guppies that were transferred from Tank T to Tank U
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some guppies from Tank S and Tank T were transferred to Tank U. The total number of guppies transferred from Tank S and Tank T into Tank U is the same.
Total number of guppies transferred from Tank S and Tank T into Tank U
= 0.6 u + 0.4 u
= 1 u
3 u = 120
1 u = 120 ÷ 3 = 40
Number of more guppies in Tank U than Tank T
= 3 u - 0.6 u
= 2.4 u
= 2.4 x 40
= 96
Answer(s): 96