Tank A contained 2 times as many guppies as Tank B. When 40% of the guppies in Tank A and 10% of the guppies in Tank B were transferred to Tank C, Tank C had 27 guppies, which was 50% more guppies than before. How many more guppies were there in Tank C than Tank B in the end?
|
Tank A |
Tank B |
Tank C |
Before |
2 u |
1 u |
2x0.9 = 1.8 u |
Change |
- 0.8 u |
- 0.1 u |
+ 1x0.9 = + 0.9 u |
After |
1.2 u |
0.9 u |
3x0.9 = 2.7 u |
Number of guppies that were transferred from Tank A to Tank C
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Number of guppies that were transferred from Tank B to Tank C
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
50% =
50100 =
12Some guppies from Tank A and Tank B were transferred to Tank C. The total number of guppies transferred from Tank A and Tank B into Tank C is the same.
Total number of guppies transferred from Tank A and Tank B into Tank C
= 0.8 u + 0.1 u
= 0.9 u
2.7 u = 27
1 u = 27 ÷ 2.7 = 10
Number of more guppies in Tank C than Tank B
= 2.7 u - 0.9 u
= 1.8 u
= 1.8 x 10
= 18
Answer(s): 18