Tank P contained 3 times as many guppies as Tank Q. When 20% of the guppies in Tank P and 10% of the guppies in Tank Q were transferred to Tank R, Tank R had 63 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 |
3 u |
1 u |
2x0.7 = 1.4 u |
Change |
- 0.6 u |
- 0.1 u |
+ 1x0.7 = + 0.7 u |
After |
2.4 u |
0.9 u |
3x0.7 = 2.1 u |
Number of guppies that were transferred from Tank P to Tank R
= 20% x 3 u
=
20100 x 3 u
= 0.6 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
= 0.6 u + 0.1 u
= 0.7 u
2.1 u = 63
1 u = 63 ÷ 2.1 = 30
Number of less guppies in Tank Q than Tank P
= 2.4 u - 0.9 u
= 1.5 u
= 1.5 x 30
= 45
Answer(s): 45