Tank U contained 2 times as many guppies as Tank V. When 50% of the guppies in Tank U and 10% of the guppies in Tank V were transferred to Tank W, Tank W had 165 guppies, which was 25% more guppies than before. How many more guppies were there in Tank W than Tank V in the end?
|
Tank U |
Tank V |
Tank W |
Before |
2 u |
1 u |
4x1.1 = 4.4 u |
Change |
- 1 u |
- 0.1 u |
+ 1x1.1 = + 1.1 u |
After |
1 u |
0.9 u |
5x1.1 = 5.5 u |
Number of guppies that were transferred from Tank U to Tank W
= 50% x 2 u
=
50100 x 2 u
= 1 u
Number of guppies that were transferred from Tank V to Tank W
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
25% =
25100 =
14Some guppies from Tank U and Tank V were transferred to Tank W. The total number of guppies transferred from Tank U and Tank V into Tank W is the same.
Total number of guppies transferred from Tank U and Tank V into Tank W
= 1 u + 0.1 u
= 1.1 u
5.5 u = 165
1 u = 165 ÷ 5.5 = 30
Number of more guppies in Tank W than Tank V
= 5.5 u - 0.9 u
= 4.6 u
= 4.6 x 30
= 138
Answer(s): 138