Tank P contained 4 times as many guppies as Tank Q. When 30% of the guppies in Tank P and 30% 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 |
4 u |
1 u |
5x1.5 = 7.5 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
2.8 u |
0.7 u |
6x1.5 = 9 u |
Number of guppies that were transferred from Tank P to Tank R
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank Q to Tank R
= 30% x 1 u
=
30100 x 1 u
= 0.3 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
= 1.2 u + 0.3 u
= 1.5 u
9 u = 180
1 u = 180 ÷ 9 = 20
Number of less guppies in Tank Q than Tank P
= 2.8 u - 0.7 u
= 2.1 u
= 2.1 x 20
= 42
Answer(s): 42