Tank P contained 3 times as many guppies as Tank Q. When 20% of the guppies in Tank P and 40% of the guppies in Tank Q were transferred to Tank R, Tank R had 180 guppies, which was 20% more guppies than before. How many less guppies were there in Tank Q than Tank P in the end?
|
Tank P |
Tank Q |
Tank R |
Before |
3 u |
1 u |
5x1 = 5 u |
Change |
- 0.6 u |
- 0.4 u |
+ 1x1 = + 1 u |
After |
2.4 u |
0.6 u |
6x1 = 6 u |
Number of guppies that were transferred from Tank P to Tank R
= 20% x 3 u
=
20100 x 3 u
= 0.6 u
Number of guppies that were transferred from Tank Q to Tank R
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
20% =
20100 =
15Some guppies from Tank P and Tank Q were transferred to Tank R. The total number of guppies transferred from Tank P and Tank Q into Tank R is the same.
Total number of guppies transferred from Tank P and Tank Q into Tank R
= 0.6 u + 0.4 u
= 1 u
6 u = 180
1 u = 180 ÷ 6 = 30
Number of less guppies in Tank Q than Tank P
= 2.4 u - 0.6 u
= 1.8 u
= 1.8 x 30
= 54
Answer(s): 54