Tank K contained 3 times as many guppies as Tank L. When 30% of the guppies in Tank K and 10% of the guppies in Tank L were transferred to Tank M, Tank M had 150 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 |
3 u |
1 u |
4x1 = 4 u |
Change |
- 0.9 u |
- 0.1 u |
+ 1x1 = + 1 u |
After |
2.1 u |
0.9 u |
5x1 = 5 u |
Number of guppies that were transferred from Tank K to Tank M
= 30% x 3 u
=
30100 x 3 u
= 0.9 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
= 0.9 u + 0.1 u
= 1 u
5 u = 150
1 u = 150 ÷ 5 = 30
Number of more guppies in Tank M than Tank L
= 5 u - 0.9 u
= 4.1 u
= 4.1 x 30
= 123
Answer(s): 123