Tank L contained 3 times as many guppies as Tank M. When 50% of the guppies in Tank L and 10% of the guppies in Tank M were transferred to Tank N, Tank N had 192 guppies, which was 50% more guppies than before. How many more guppies were there in Tank N than Tank M in the end?
|
Tank L |
Tank M |
Tank N |
Before |
3 u |
1 u |
2x1.6 = 3.2 u |
Change |
- 1.5 u |
- 0.1 u |
+ 1x1.6 = + 1.6 u |
After |
1.5 u |
0.9 u |
3x1.6 = 4.8 u |
Number of guppies that were transferred from Tank L to Tank N
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
Number of guppies that were transferred from Tank M to Tank N
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
50% =
50100 =
12Some guppies from Tank L and Tank M were transferred to Tank N. The total number of guppies transferred from Tank L and Tank M into Tank N is the same.
Total number of guppies transferred from Tank L and Tank M into Tank N
= 1.5 u + 0.1 u
= 1.6 u
4.8 u = 192
1 u = 192 ÷ 4.8 = 40
Number of more guppies in Tank N than Tank M
= 4.8 u - 0.9 u
= 3.9 u
= 3.9 x 40
= 156
Answer(s): 156