Tank A contained 3 times as many guppies as Tank B. When 40% of the guppies in Tank A and 40% of the guppies in Tank B were transferred to Tank C, Tank C had 192 guppies, which was 20% more guppies than before. How many more guppies were there in Tank C than Tank B in the end?
|
Tank A |
Tank B |
Tank C |
Before |
3 u |
1 u |
5x1.6 = 8 u |
Change |
- 1.2 u |
- 0.4 u |
+ 1x1.6 = + 1.6 u |
After |
1.8 u |
0.6 u |
6x1.6 = 9.6 u |
Number of guppies that were transferred from Tank A to Tank C
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Number of guppies that were transferred from Tank B to Tank C
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank A and Tank B were transferred to Tank C. The total number of guppies transferred from Tank A and Tank B into Tank C is the same.
Total number of guppies transferred from Tank A and Tank B into Tank C
= 1.2 u + 0.4 u
= 1.6 u
9.6 u = 192
1 u = 192 ÷ 9.6 = 20
Number of more guppies in Tank C than Tank B
= 9.6 u - 0.6 u
= 9 u
= 9 x 20
= 180
Answer(s): 180