Tank P contained 4 times as many guppies as Tank Q. When 50% of the guppies in Tank P and 10% of the guppies in Tank Q were transferred to Tank R, Tank R had 252 guppies, which was 50% more guppies than before. How many less guppies were there in Tank Q than Tank P in the end?
|
Tank P |
Tank Q |
Tank R |
Before |
4 u |
1 u |
2x2.1 = 4.2 u |
Change |
- 2 u |
- 0.1 u |
+ 1x2.1 = + 2.1 u |
After |
2 u |
0.9 u |
3x2.1 = 6.3 u |
Number of guppies that were transferred from Tank P to Tank R
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of guppies that were transferred from Tank Q to Tank R
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
50% =
50100 =
12Some guppies from Tank P and Tank Q were transferred to Tank R. The total number of guppies transferred from Tank P and Tank Q into Tank R is the same.
Total number of guppies transferred from Tank P and Tank Q into Tank R
= 2 u + 0.1 u
= 2.1 u
6.3 u = 252
1 u = 252 ÷ 6.3 = 40
Number of less guppies in Tank Q than Tank P
= 2 u - 0.9 u
= 1.1 u
= 1.1 x 40
= 44
Answer(s): 44