Tank N contained 4 times as many guppies as Tank P. When 50% of the guppies in Tank N and 10% of the guppies in Tank P were transferred to Tank Q, Tank Q had 420 guppies, which was 25% more guppies than before. How many less guppies were there in Tank P than Tank N in the end?
|
Tank N |
Tank P |
Tank Q |
Before |
4 u |
1 u |
4x2.1 = 8.4 u |
Change |
- 2 u |
- 0.1 u |
+ 1x2.1 = + 2.1 u |
After |
2 u |
0.9 u |
5x2.1 = 10.5 u |
Number of guppies that were transferred from Tank N to Tank Q
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of guppies that were transferred from Tank P to Tank Q
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
25% =
25100 =
14Some guppies from Tank N and Tank P were transferred to Tank Q. The total number of guppies transferred from Tank N and Tank P into Tank Q is the same.
Total number of guppies transferred from Tank N and Tank P into Tank Q
= 2 u + 0.1 u
= 2.1 u
10.5 u = 420
1 u = 420 ÷ 10.5 = 40
Number of less guppies in Tank P than Tank N
= 2 u - 0.9 u
= 1.1 u
= 1.1 x 40
= 44
Answer(s): 44