Tank K contained 2 times as many guppies as Tank L. When 40% of the guppies in Tank K and 10% of the guppies in Tank L were transferred to Tank M, Tank M had 180 guppies, which was 25% more guppies than before. How many more guppies were there in Tank M than Tank L in the end?
|
Tank K |
Tank L |
Tank M |
Before |
2 u |
1 u |
4x0.9 = 3.6 u |
Change |
- 0.8 u |
- 0.1 u |
+ 1x0.9 = + 0.9 u |
After |
1.2 u |
0.9 u |
5x0.9 = 4.5 u |
Number of guppies that were transferred from Tank K to Tank M
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Number of guppies that were transferred from Tank L to Tank M
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
25% =
25100 =
14Some guppies from Tank K and Tank L were transferred to Tank M. The total number of guppies transferred from Tank K and Tank L into Tank M is the same.
Total number of guppies transferred from Tank K and Tank L into Tank M
= 0.8 u + 0.1 u
= 0.9 u
4.5 u = 180
1 u = 180 ÷ 4.5 = 40
Number of more guppies in Tank M than Tank L
= 4.5 u - 0.9 u
= 3.6 u
= 3.6 x 40
= 144
Answer(s): 144