Tank X contained 4 times as many guppies as Tank Y. When 50% of the guppies in Tank X and 10% of the guppies in Tank Y were transferred to Tank Z, Tank Z had 378 guppies, which was 20% more guppies than before. How many less guppies were there in Tank Y than Tank X in the end?
|
Tank X |
Tank Y |
Tank Z |
Before |
4 u |
1 u |
5x2.1 = 10.5 u |
Change |
- 2 u |
- 0.1 u |
+ 1x2.1 = + 2.1 u |
After |
2 u |
0.9 u |
6x2.1 = 12.6 u |
Number of guppies that were transferred from Tank X to Tank Z
= 50% x 4 u
=
50100 x 4 u
= 2 u
Number of guppies that were transferred from Tank Y to Tank Z
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
20% =
20100 =
15Some guppies from Tank X and Tank Y were transferred to Tank Z. The total number of guppies transferred from Tank X and Tank Y into Tank Z is the same.
Total number of guppies transferred from Tank X and Tank Y into Tank Z
= 2 u + 0.1 u
= 2.1 u
12.6 u = 378
1 u = 378 ÷ 12.6 = 30
Number of less guppies in Tank Y than Tank X
= 2 u - 0.9 u
= 1.1 u
= 1.1 x 30
= 33
Answer(s): 33