Tank R contained 4 times as many guppies as Tank S. When 10% of the guppies in Tank R and 30% of the guppies in Tank S were transferred to Tank T, Tank T had 126 guppies, which was 20% 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 |
5x0.7 = 3.5 u |
Change |
- 0.4 u |
- 0.3 u |
+ 1x0.7 = + 0.7 u |
After |
3.6 u |
0.7 u |
6x0.7 = 4.2 u |
Number of guppies that were transferred from Tank R to Tank T
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank S to Tank T
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
20% =
20100 =
15Some 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
= 0.4 u + 0.3 u
= 0.7 u
4.2 u = 126
1 u = 126 ÷ 4.2 = 30
Number of less guppies in Tank S than Tank R
= 3.6 u - 0.7 u
= 2.9 u
= 2.9 x 30
= 87
Answer(s): 87