Tank A contained 3 times as many guppies as Tank B. When 30% of the guppies in Tank A and 40% of the guppies in Tank B were transferred to Tank C, Tank C had 312 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 |
5x1.3 = 6.5 u |
Change |
- 0.9 u |
- 0.4 u |
+ 1x1.3 = + 1.3 u |
After |
2.1 u |
0.6 u |
6x1.3 = 7.8 u |
Number of guppies that were transferred from Tank A to Tank C
= 30% x 3 u
=
30100 x 3 u
= 0.9 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
= 0.9 u + 0.4 u
= 1.3 u
7.8 u = 312
1 u = 312 ÷ 7.8 = 40
Number of more guppies in Tank C than Tank B
= 7.8 u - 0.6 u
= 7.2 u
= 7.2 x 40
= 288
Answer(s): 288