Tank P contained 3 times as many guppies as Tank Q. When 30% of the guppies in Tank P and 40% of the guppies in Tank Q were transferred to Tank R, Tank R had 156 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 |
5x1.3 = 6.5 u |
Change |
- 0.9 u |
- 0.4 u |
+ 1x1.3 = + 1.3 u |
After |
2.1 u |
0.6 u |
6x1.3 = 7.8 u |
Number of guppies that were transferred from Tank P to Tank R
= 30% x 3 u
=
30100 x 3 u
= 0.9 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
= 0.9 u + 0.4 u
= 1.3 u
7.8 u = 156
1 u = 156 ÷ 7.8 = 20
Number of less guppies in Tank Q than Tank P
= 2.1 u - 0.6 u
= 1.5 u
= 1.5 x 20
= 30
Answer(s): 30