Tank T contained 2 times as many guppies as Tank U. When 50% of the guppies in Tank T and 20% of the guppies in Tank U were transferred to Tank V, Tank V had 72 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 |
2 u |
1 u |
5x1.2 = 6 u |
Change |
- 1 u |
- 0.2 u |
+ 1x1.2 = + 1.2 u |
After |
1 u |
0.8 u |
6x1.2 = 7.2 u |
Number of guppies that were transferred from Tank T to Tank V
= 50% x 2 u
=
50100 x 2 u
= 1 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
= 1 u + 0.2 u
= 1.2 u
7.2 u = 72
1 u = 72 ÷ 7.2 = 10
Number of more guppies in Tank V than Tank U
= 7.2 u - 0.8 u
= 6.4 u
= 6.4 x 10
= 64
Answer(s): 64