Tank Q contained 3 times as many guppies as Tank R. When 30% of the guppies in Tank Q and 20% of the guppies in Tank R were transferred to Tank S, Tank S had 165 guppies, which was 25% more guppies than before. How many more guppies were there in Tank S than Tank R in the end?
|
Tank Q |
Tank R |
Tank S |
Before |
3 u |
1 u |
4x1.1 = 4.4 u |
Change |
- 0.9 u |
- 0.2 u |
+ 1x1.1 = + 1.1 u |
After |
2.1 u |
0.8 u |
5x1.1 = 5.5 u |
Number of guppies that were transferred from Tank Q to Tank S
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank R to Tank S
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
25% =
25100 =
14Some guppies from Tank Q and Tank R were transferred to Tank S. The total number of guppies transferred from Tank Q and Tank R into Tank S is the same.
Total number of guppies transferred from Tank Q and Tank R into Tank S
= 0.9 u + 0.2 u
= 1.1 u
5.5 u = 165
1 u = 165 ÷ 5.5 = 30
Number of more guppies in Tank S than Tank R
= 5.5 u - 0.8 u
= 4.7 u
= 4.7 x 30
= 141
Answer(s): 141