Tank K contained 4 times as many guppies as Tank L. When 40% of the guppies in Tank K and 20% of the guppies in Tank L were transferred to Tank M, Tank M had 216 guppies, which was 50% 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 |
4 u |
1 u |
2x1.8 = 3.6 u |
Change |
- 1.6 u |
- 0.2 u |
+ 1x1.8 = + 1.8 u |
After |
2.4 u |
0.8 u |
3x1.8 = 5.4 u |
Number of guppies that were transferred from Tank K to Tank M
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank L to Tank M
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 1.6 u + 0.2 u
= 1.8 u
5.4 u = 216
1 u = 216 ÷ 5.4 = 40
Number of more guppies in Tank M than Tank L
= 5.4 u - 0.8 u
= 4.6 u
= 4.6 x 40
= 184
Answer(s): 184