Tank A contained 2 times as many guppies as Tank B. When 10% of the guppies in Tank A and 40% of the guppies in Tank B were transferred to Tank C, Tank C had 72 guppies, which was 20% more guppies than before. How many less guppies were there in Tank B than Tank A in the end?
|
Tank A |
Tank B |
Tank C |
Before |
2 u |
1 u |
5x0.6 = 3 u |
Change |
- 0.2 u |
- 0.4 u |
+ 1x0.6 = + 0.6 u |
After |
1.8 u |
0.6 u |
6x0.6 = 3.6 u |
Number of guppies that were transferred from Tank A to Tank C
= 10% x 2 u
=
10100 x 2 u
= 0.2 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
= 0.2 u + 0.4 u
= 0.6 u
3.6 u = 72
1 u = 72 ÷ 3.6 = 20
Number of less guppies in Tank B than Tank A
= 1.8 u - 0.6 u
= 1.2 u
= 1.2 x 20
= 24
Answer(s): 24