Tank P contained 4 times as many guppies as Tank Q. When 10% of the guppies in Tank P and 30% of the guppies in Tank Q were transferred to Tank R, Tank R had 105 guppies, which was 25% more guppies than before. How many more guppies were there in Tank R than Tank Q in the end?
|
Tank P |
Tank Q |
Tank R |
Before |
4 u |
1 u |
4x0.7 = 2.8 u |
Change |
- 0.4 u |
- 0.3 u |
+ 1x0.7 = + 0.7 u |
After |
3.6 u |
0.7 u |
5x0.7 = 3.5 u |
Number of guppies that were transferred from Tank P to Tank R
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank Q to Tank R
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
25% =
25100 =
14Some 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
= 0.4 u + 0.3 u
= 0.7 u
3.5 u = 105
1 u = 105 ÷ 3.5 = 30
Number of more guppies in Tank R than Tank Q
= 3.5 u - 0.7 u
= 2.8 u
= 2.8 x 30
= 84
Answer(s): 84