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 90 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 |
5x1.5 = 7.5 u |
Change |
- 1.2 u |
- 0.3 u |
+ 1x1.5 = + 1.5 u |
After |
2.8 u |
0.7 u |
6x1.5 = 9 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
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
= 1.2 u + 0.3 u
= 1.5 u
9 u = 90
1 u = 90 ÷ 9 = 10
Number of less guppies in Tank U than Tank T
= 2.8 u - 0.7 u
= 2.1 u
= 2.1 x 10
= 21
Answer(s): 21