Tank T contained 3 times as many guppies as Tank U. When 30% of the guppies in Tank T and 20% of the guppies in Tank U were transferred to Tank V, Tank V had 198 guppies, which was 20% more guppies than before. How many more guppies were there in Tank V than Tank U in the end?
|
Tank T |
Tank U |
Tank V |
Before |
3 u |
1 u |
5x1.1 = 5.5 u |
Change |
- 0.9 u |
- 0.2 u |
+ 1x1.1 = + 1.1 u |
After |
2.1 u |
0.8 u |
6x1.1 = 6.6 u |
Number of guppies that were transferred from Tank T to Tank V
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank U to Tank V
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
20% =
20100 =
15Some guppies from Tank T and Tank U were transferred to Tank V. The total number of guppies transferred from Tank T and Tank U into Tank V is the same.
Total number of guppies transferred from Tank T and Tank U into Tank V
= 0.9 u + 0.2 u
= 1.1 u
6.6 u = 198
1 u = 198 ÷ 6.6 = 30
Number of more guppies in Tank V than Tank U
= 6.6 u - 0.8 u
= 5.8 u
= 5.8 x 30
= 174
Answer(s): 174