Tank N contained 4 times as many guppies as Tank P. When 20% of the guppies in Tank N and 20% of the guppies in Tank P were transferred to Tank Q, Tank Q had 60 guppies, which was 50% more guppies than before. How many more guppies were there in Tank Q than Tank P in the end?
|
Tank N |
Tank P |
Tank Q |
Before |
4 u |
1 u |
2x1 = 2 u |
Change |
- 0.8 u |
- 0.2 u |
+ 1x1 = + 1 u |
After |
3.2 u |
0.8 u |
3x1 = 3 u |
Number of guppies that were transferred from Tank N to Tank Q
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of guppies that were transferred from Tank P to Tank Q
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
50% =
50100 =
12Some 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
= 0.8 u + 0.2 u
= 1 u
3 u = 60
1 u = 60 ÷ 3 = 20
Number of more guppies in Tank Q than Tank P
= 3 u - 0.8 u
= 2.2 u
= 2.2 x 20
= 44
Answer(s): 44