Tank C contained 2 times as many guppies as Tank D. When 40% of the guppies in Tank C and 10% of the guppies in Tank D were transferred to Tank E, Tank E had 216 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 |
2 u |
1 u |
5x0.9 = 4.5 u |
Change |
- 0.8 u |
- 0.1 u |
+ 1x0.9 = + 0.9 u |
After |
1.2 u |
0.9 u |
6x0.9 = 5.4 u |
Number of guppies that were transferred from Tank C to Tank E
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Number of guppies that were transferred from Tank D to Tank E
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 0.8 u + 0.1 u
= 0.9 u
5.4 u = 216
1 u = 216 ÷ 5.4 = 40
Number of more guppies in Tank E than Tank D
= 5.4 u - 0.9 u
= 4.5 u
= 4.5 x 40
= 180
Answer(s): 180