Tank P contained 4 times as many guppies as Tank Q. When 50% of the guppies in Tank P and 20% of the guppies in Tank Q were transferred to Tank R, Tank R had 110 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 |
4x2.2 = 8.8 u |
Change |
- 2 u |
- 0.2 u |
+ 1x2.2 = + 2.2 u |
After |
2 u |
0.8 u |
5x2.2 = 11 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
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 2 u + 0.2 u
= 2.2 u
11 u = 110
1 u = 110 ÷ 11 = 10
Number of more guppies in Tank R than Tank Q
= 11 u - 0.8 u
= 10.2 u
= 10.2 x 10
= 102
Answer(s): 102