Tank C contained 3 times as many guppies as Tank D. When 50% of the guppies in Tank C and 20% of the guppies in Tank D were transferred to Tank E, Tank E had 408 guppies, which was 20% more guppies than before. How many more guppies were there in Tank E than Tank D in the end?
|
Tank C |
Tank D |
Tank E |
Before |
3 u |
1 u |
5x1.7 = 8.5 u |
Change |
- 1.5 u |
- 0.2 u |
+ 1x1.7 = + 1.7 u |
After |
1.5 u |
0.8 u |
6x1.7 = 10.2 u |
Number of guppies that were transferred from Tank C to Tank E
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
Number of guppies that were transferred from Tank D to Tank E
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
20% =
20100 =
15Some guppies from Tank C and Tank D were transferred to Tank E. The total number of guppies transferred from Tank C and Tank D into Tank E is the same.
Total number of guppies transferred from Tank C and Tank D into Tank E
= 1.5 u + 0.2 u
= 1.7 u
10.2 u = 408
1 u = 408 ÷ 10.2 = 40
Number of more guppies in Tank E than Tank D
= 10.2 u - 0.8 u
= 9.4 u
= 9.4 x 40
= 376
Answer(s): 376