Tank T contained 3 times as many guppies as Tank U. When 30% of the guppies in Tank T and 10% of the guppies in Tank U were transferred to Tank V, Tank V had 30 guppies, which was 50% 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 |
3 u |
1 u |
2x1 = 2 u |
Change |
- 0.9 u |
- 0.1 u |
+ 1x1 = + 1 u |
After |
2.1 u |
0.9 u |
3x1 = 3 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
= 10% x 1 u
=
10100 x 1 u
= 0.1 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
= 0.9 u + 0.1 u
= 1 u
3 u = 30
1 u = 30 ÷ 3 = 10
Number of less guppies in Tank U than Tank T
= 2.1 u - 0.9 u
= 1.2 u
= 1.2 x 10
= 12
Answer(s): 12