Tank N contained 4 times as many guppies as Tank P. When 30% of the guppies in Tank N and 30% of the guppies in Tank P were transferred to Tank Q, Tank Q had 150 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 |
4x1.5 = 6 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
2.8 u |
0.7 u |
5x1.5 = 7.5 u |
Number of guppies that were transferred from Tank N to Tank Q
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank P to Tank Q
= 30% x 1 u
=
30100 x 1 u
= 0.3 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
= 1.2 u + 0.3 u
= 1.5 u
7.5 u = 150
1 u = 150 ÷ 7.5 = 20
Number of less guppies in Tank P than Tank N
= 2.8 u - 0.7 u
= 2.1 u
= 2.1 x 20
= 42
Answer(s): 42