Tank T contained 4 times as many guppies as Tank U. When 10% of the guppies in Tank T and 20% of the guppies in Tank U were transferred to Tank V, Tank V had 144 guppies, which was 20% more guppies than before. How many less guppies were there in Tank U than Tank T in the end?
|
Tank T |
Tank U |
Tank V |
Before |
4 u |
1 u |
5x0.6 = 3 u |
Change |
- 0.4 u |
- 0.2 u |
+ 1x0.6 = + 0.6 u |
After |
3.6 u |
0.8 u |
6x0.6 = 3.6 u |
Number of guppies that were transferred from Tank T to Tank V
= 10% x 4 u
=
10100 x 4 u
= 0.4 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
= 0.4 u + 0.2 u
= 0.6 u
3.6 u = 144
1 u = 144 ÷ 3.6 = 40
Number of less guppies in Tank U than Tank T
= 3.6 u - 0.8 u
= 2.8 u
= 2.8 x 40
= 112
Answer(s): 112