Tank V contained 4 times as many guppies as Tank W. When 30% of the guppies in Tank V and 20% of the guppies in Tank W were transferred to Tank X, Tank X had 42 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 |
2x1.4 = 2.8 u |
Change |
- 1.2 u |
- 0.2 u |
+ 1x1.4 = + 1.4 u |
After |
2.8 u |
0.8 u |
3x1.4 = 4.2 u |
Number of guppies that were transferred from Tank V to Tank X
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of guppies that were transferred from Tank W to Tank X
= 20% x 1 u
=
20100 x 1 u
= 0.2 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
= 1.2 u + 0.2 u
= 1.4 u
4.2 u = 42
1 u = 42 ÷ 4.2 = 10
Number of more guppies in Tank X than Tank W
= 4.2 u - 0.8 u
= 3.4 u
= 3.4 x 10
= 34
Answer(s): 34