Tank T contained 4 times as many guppies as Tank U. When 30% of the guppies in Tank T and 30% of the guppies in Tank U were transferred to Tank V, Tank V had 135 guppies, which was 50% 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 |
4 u |
1 u |
2x1.5 = 3 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
2.8 u |
0.7 u |
3x1.5 = 4.5 u |
Number of guppies that were transferred from Tank T to Tank V
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank U to Tank V
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
50% =
50100 =
12Some 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
= 1.2 u + 0.3 u
= 1.5 u
4.5 u = 135
1 u = 135 ÷ 4.5 = 30
Number of more guppies in Tank V than Tank U
= 4.5 u - 0.7 u
= 3.8 u
= 3.8 x 30
= 114
Answer(s): 114