Tank L contained 3 times as many guppies as Tank M. When 50% of the guppies in Tank L and 30% of the guppies in Tank M were transferred to Tank N, Tank N had 432 guppies, which was 20% 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 |
5x1.8 = 9 u |
Change |
- 1.5 u |
- 0.3 u |
+ 1x1.8 = + 1.8 u |
After |
1.5 u |
0.7 u |
6x1.8 = 10.8 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
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
20% =
20100 =
15Some 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 + 0.3 u
= 1.8 u
10.8 u = 432
1 u = 432 ÷ 10.8 = 40
Number of more guppies in Tank N than Tank M
= 10.8 u - 0.7 u
= 10.1 u
= 10.1 x 40
= 404
Answer(s): 404