Tank R contained 4 times as many guppies as Tank S. When 30% of the guppies in Tank R and 20% of the guppies in Tank S were transferred to Tank T, Tank T had 84 guppies, which was 50% more guppies than before. How many less guppies were there in Tank S than Tank R in the end?
|
Tank R |
Tank S |
Tank T |
Before |
4 u |
1 u |
2x1.4 = 2.8 u |
Change |
- 1.2 u |
- 0.2 u |
+ 1x1.4 = + 1.4 u |
After |
2.8 u |
0.8 u |
3x1.4 = 4.2 u |
Number of guppies that were transferred from Tank R to Tank T
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank S to Tank T
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
50% =
50100 =
12Some guppies from Tank R and Tank S were transferred to Tank T. The total number of guppies transferred from Tank R and Tank S into Tank T is the same.
Total number of guppies transferred from Tank R and Tank S into Tank T
= 1.2 u + 0.2 u
= 1.4 u
4.2 u = 84
1 u = 84 ÷ 4.2 = 20
Number of less guppies in Tank S than Tank R
= 2.8 u - 0.8 u
= 2 u
= 2 x 20
= 40
Answer(s): 40