Tank B contained 3 times as many guppies as Tank C. When 40% of the guppies in Tank B and 40% of the guppies in Tank C were transferred to Tank D, Tank D had 96 guppies, which was 20% more guppies than before. How many less guppies were there in Tank C than Tank B in the end?
|
Tank B |
Tank C |
Tank D |
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 B to Tank D
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Number of guppies that were transferred from Tank C to Tank D
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank B and Tank C were transferred to Tank D. The total number of guppies transferred from Tank B and Tank C into Tank D is the same.
Total number of guppies transferred from Tank B and Tank C into Tank D
= 1.2 u + 0.4 u
= 1.6 u
9.6 u = 96
1 u = 96 ÷ 9.6 = 10
Number of less guppies in Tank C than Tank B
= 1.8 u - 0.6 u
= 1.2 u
= 1.2 x 10
= 12
Answer(s): 12