Tank C contained 2 times as many guppies as Tank D. When 50% of the guppies in Tank C and 10% of the guppies in Tank D were transferred to Tank E, Tank E had 66 guppies, which was 50% 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 |
2x1.1 = 2.2 u |
Change |
- 1 u |
- 0.1 u |
+ 1x1.1 = + 1.1 u |
After |
1 u |
0.9 u |
3x1.1 = 3.3 u |
Number of guppies that were transferred from Tank C to Tank E
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of guppies that were transferred from Tank D to Tank E
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
50% =
50100 =
12Some 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 u + 0.1 u
= 1.1 u
3.3 u = 66
1 u = 66 ÷ 3.3 = 20
Number of more guppies in Tank E than Tank D
= 3.3 u - 0.9 u
= 2.4 u
= 2.4 x 20
= 48
Answer(s): 48