Tank L contained 4 times as many guppies as Tank M. When 30% of the guppies in Tank L and 40% of the guppies in Tank M were transferred to Tank N, Tank N had 144 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 |
4 u |
1 u |
2x1.6 = 3.2 u |
Change |
- 1.2 u |
- 0.4 u |
+ 1x1.6 = + 1.6 u |
After |
2.8 u |
0.6 u |
3x1.6 = 4.8 u |
Number of guppies that were transferred from Tank L to Tank N
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank M to Tank N
= 40% x 1 u
=
40100 x 1 u
= 0.4 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
= 1.2 u + 0.4 u
= 1.6 u
4.8 u = 144
1 u = 144 ÷ 4.8 = 30
Number of more guppies in Tank N than Tank M
= 4.8 u - 0.6 u
= 4.2 u
= 4.2 x 30
= 126
Answer(s): 126