Tank M contained 4 times as many guppies as Tank N. When 40% of the guppies in Tank M and 10% of the guppies in Tank N were transferred to Tank P, Tank P had 255 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 |
4x1.7 = 6.8 u |
Change |
- 1.6 u |
- 0.1 u |
+ 1x1.7 = + 1.7 u |
After |
2.4 u |
0.9 u |
5x1.7 = 8.5 u |
Number of guppies that were transferred from Tank M to Tank P
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank N to Tank P
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 1.6 u + 0.1 u
= 1.7 u
8.5 u = 255
1 u = 255 ÷ 8.5 = 30
Number of less guppies in Tank N than Tank M
= 2.4 u - 0.9 u
= 1.5 u
= 1.5 x 30
= 45
Answer(s): 45