Tank V contained 4 times as many guppies as Tank W. When 20% of the guppies in Tank V and 10% of the guppies in Tank W were transferred to Tank X, Tank X had 108 guppies, which was 50% more guppies than before. How many less guppies were there in Tank W than Tank V in the end?
|
Tank V |
Tank W |
Tank X |
Before |
4 u |
1 u |
2x0.9 = 1.8 u |
Change |
- 0.8 u |
- 0.1 u |
+ 1x0.9 = + 0.9 u |
After |
3.2 u |
0.9 u |
3x0.9 = 2.7 u |
Number of guppies that were transferred from Tank V to Tank X
= 20% x 4 u
=
20100 x 4 u
= 0.8 u
Number of guppies that were transferred from Tank W to Tank X
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
50% =
50100 =
12Some guppies from Tank V and Tank W were transferred to Tank X. The total number of guppies transferred from Tank V and Tank W into Tank X is the same.
Total number of guppies transferred from Tank V and Tank W into Tank X
= 0.8 u + 0.1 u
= 0.9 u
2.7 u = 108
1 u = 108 ÷ 2.7 = 40
Number of less guppies in Tank W than Tank V
= 3.2 u - 0.9 u
= 2.3 u
= 2.3 x 40
= 92
Answer(s): 92