Tank K contained 4 times as many guppies as Tank L. When 40% of the guppies in Tank K and 30% of the guppies in Tank L were transferred to Tank M, Tank M had 171 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 |
2x1.9 = 3.8 u |
Change |
- 1.6 u |
- 0.3 u |
+ 1x1.9 = + 1.9 u |
After |
2.4 u |
0.7 u |
3x1.9 = 5.7 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
= 30% x 1 u
=
30100 x 1 u
= 0.3 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 + 0.3 u
= 1.9 u
5.7 u = 171
1 u = 171 ÷ 5.7 = 30
Number of less guppies in Tank L than Tank K
= 2.4 u - 0.7 u
= 1.7 u
= 1.7 x 30
= 51
Answer(s): 51