Tank V contained 4 times as many guppies as Tank W. When 40% of the guppies in Tank V and 30% of the guppies in Tank W were transferred to Tank X, Tank X had 171 guppies, which was 50% more guppies than before. How many more guppies were there in Tank X than Tank W in the end?
|
Tank V |
Tank W |
Tank X |
Before |
4 u |
1 u |
2x1.9 = 3.8 u |
Change |
- 1.6 u |
- 0.3 u |
+ 1x1.9 = + 1.9 u |
After |
2.4 u |
0.7 u |
3x1.9 = 5.7 u |
Number of guppies that were transferred from Tank V to Tank X
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank W to Tank X
= 30% x 1 u
=
30100 x 1 u
= 0.3 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
= 1.6 u + 0.3 u
= 1.9 u
5.7 u = 171
1 u = 171 ÷ 5.7 = 30
Number of more guppies in Tank X than Tank W
= 5.7 u - 0.7 u
= 5 u
= 5 x 30
= 150
Answer(s): 150