Tank Q contained 3 times as many guppies as Tank R. When 10% of the guppies in Tank Q and 40% of the guppies in Tank R were transferred to Tank S, Tank S had 140 guppies, which was 25% more guppies than before. How many less guppies were there in Tank R than Tank Q in the end?
|
Tank Q |
Tank R |
Tank S |
Before |
3 u |
1 u |
4x0.7 = 2.8 u |
Change |
- 0.3 u |
- 0.4 u |
+ 1x0.7 = + 0.7 u |
After |
2.7 u |
0.6 u |
5x0.7 = 3.5 u |
Number of guppies that were transferred from Tank Q to Tank S
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
Number of guppies that were transferred from Tank R to Tank S
= 40% x 1 u
=
40100 x 1 u
= 0.4 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
= 0.3 u + 0.4 u
= 0.7 u
3.5 u = 140
1 u = 140 ÷ 3.5 = 40
Number of less guppies in Tank R than Tank Q
= 2.7 u - 0.6 u
= 2.1 u
= 2.1 x 40
= 84
Answer(s): 84