Tank Q contained 3 times as many guppies as Tank R. When 40% of the guppies in Tank Q and 30% of the guppies in Tank R were transferred to Tank S, Tank S had 270 guppies, which was 20% 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 |
5x1.5 = 7.5 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
1.8 u |
0.7 u |
6x1.5 = 9 u |
Number of guppies that were transferred from Tank Q to Tank S
= 40% x 3 u
=
40100 x 3 u
= 1.2 u
Number of guppies that were transferred from Tank R to Tank S
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
20% =
20100 =
15Some 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
= 1.2 u + 0.3 u
= 1.5 u
9 u = 270
1 u = 270 ÷ 9 = 30
Number of more guppies in Tank S than Tank R
= 9 u - 0.7 u
= 8.3 u
= 8.3 x 30
= 249
Answer(s): 249