Tank K contained 3 times as many guppies as Tank L. When 50% of the guppies in Tank K and 10% of the guppies in Tank L were transferred to Tank M, Tank M had 160 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 |
4x1.6 = 6.4 u |
Change |
- 1.5 u |
- 0.1 u |
+ 1x1.6 = + 1.6 u |
After |
1.5 u |
0.9 u |
5x1.6 = 8 u |
Number of guppies that were transferred from Tank K to Tank M
= 50% x 3 u
=
50100 x 3 u
= 1.5 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
= 1.5 u + 0.1 u
= 1.6 u
8 u = 160
1 u = 160 ÷ 8 = 20
Number of more guppies in Tank M than Tank L
= 8 u - 0.9 u
= 7.1 u
= 7.1 x 20
= 142
Answer(s): 142