Tank A contained 3 times as many guppies as Tank B. When 40% of the guppies in Tank A and 30% of the guppies in Tank B were transferred to Tank C, Tank C had 180 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 |
3 u |
1 u |
2x1.5 = 3 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
1.8 u |
0.7 u |
3x1.5 = 4.5 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
= 30% x 1 u
=
30100 x 1 u
= 0.3 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
= 1.2 u + 0.3 u
= 1.5 u
4.5 u = 180
1 u = 180 ÷ 4.5 = 40
Number of less guppies in Tank B than Tank A
= 1.8 u - 0.7 u
= 1.1 u
= 1.1 x 40
= 44
Answer(s): 44