Tank M contained 4 times as many guppies as Tank N. When 30% of the guppies in Tank M and 40% of the guppies in Tank N were transferred to Tank P, Tank P had 160 guppies, which was 25% more guppies than before. How many less guppies were there in Tank N than Tank M in the end?
|
Tank M |
Tank N |
Tank P |
Before |
4 u |
1 u |
4x1.6 = 6.4 u |
Change |
- 1.2 u |
- 0.4 u |
+ 1x1.6 = + 1.6 u |
After |
2.8 u |
0.6 u |
5x1.6 = 8 u |
Number of guppies that were transferred from Tank M to Tank P
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank N to Tank P
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
25% =
25100 =
14Some guppies from Tank M and Tank N were transferred to Tank P. The total number of guppies transferred from Tank M and Tank N into Tank P is the same.
Total number of guppies transferred from Tank M and Tank N into Tank P
= 1.2 u + 0.4 u
= 1.6 u
8 u = 160
1 u = 160 ÷ 8 = 20
Number of less guppies in Tank N than Tank M
= 2.8 u - 0.6 u
= 2.2 u
= 2.2 x 20
= 44
Answer(s): 44