Tank N contained 3 times as many guppies as Tank P. When 10% of the guppies in Tank N and 20% of the guppies in Tank P were transferred to Tank Q, Tank Q had 25 guppies, which was 25% 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 |
3 u |
1 u |
4x0.5 = 2 u |
Change |
- 0.3 u |
- 0.2 u |
+ 1x0.5 = + 0.5 u |
After |
2.7 u |
0.8 u |
5x0.5 = 2.5 u |
Number of guppies that were transferred from Tank N to Tank Q
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of guppies that were transferred from Tank P to Tank Q
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 0.3 u + 0.2 u
= 0.5 u
2.5 u = 25
1 u = 25 ÷ 2.5 = 10
Number of more guppies in Tank Q than Tank P
= 2.5 u - 0.8 u
= 1.7 u
= 1.7 x 10
= 17
Answer(s): 17