Tank K contained 4 times as many guppies as Tank L. When 20% of the guppies in Tank K and 40% of the guppies in Tank L were transferred to Tank M, Tank M had 108 guppies, which was 50% more guppies than before. How many less guppies were there in Tank L than Tank K in the end?
|
Tank K |
Tank L |
Tank M |
Before |
4 u |
1 u |
2x1.2 = 2.4 u |
Change |
- 0.8 u |
- 0.4 u |
+ 1x1.2 = + 1.2 u |
After |
3.2 u |
0.6 u |
3x1.2 = 3.6 u |
Number of guppies that were transferred from Tank K to Tank M
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of guppies that were transferred from Tank L to Tank M
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some 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 + 0.4 u
= 1.2 u
3.6 u = 108
1 u = 108 ÷ 3.6 = 30
Number of less guppies in Tank L than Tank K
= 3.2 u - 0.6 u
= 2.6 u
= 2.6 x 30
= 78
Answer(s): 78