Tank A contained 4 times as many guppies as Tank B. When 40% of the guppies in Tank A and 20% of the guppies in Tank B were transferred to Tank C, Tank C had 162 guppies, which was 50% 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 |
4 u |
1 u |
2x1.8 = 3.6 u |
Change |
- 1.6 u |
- 0.2 u |
+ 1x1.8 = + 1.8 u |
After |
2.4 u |
0.8 u |
3x1.8 = 5.4 u |
Number of guppies that were transferred from Tank A to Tank C
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank B to Tank C
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
50% =
50100 =
12Some 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
= 1.6 u + 0.2 u
= 1.8 u
5.4 u = 162
1 u = 162 ÷ 5.4 = 30
Number of less guppies in Tank B than Tank A
= 2.4 u - 0.8 u
= 1.6 u
= 1.6 x 30
= 48
Answer(s): 48