Tank B contained 4 times as many guppies as Tank C. When 10% of the guppies in Tank B and 20% of the guppies in Tank C were transferred to Tank D, Tank D had 108 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 |
4 u |
1 u |
5x0.6 = 3 u |
Change |
- 0.4 u |
- 0.2 u |
+ 1x0.6 = + 0.6 u |
After |
3.6 u |
0.8 u |
6x0.6 = 3.6 u |
Number of guppies that were transferred from Tank B to Tank D
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank C to Tank D
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 0.4 u + 0.2 u
= 0.6 u
3.6 u = 108
1 u = 108 ÷ 3.6 = 30
Number of less guppies in Tank C than Tank B
= 3.6 u - 0.8 u
= 2.8 u
= 2.8 x 30
= 84
Answer(s): 84