Tank J contained 2 times as many guppies as Tank K. When 30% of the guppies in Tank J and 30% of the guppies in Tank K were transferred to Tank L, Tank L had 54 guppies, which was 20% more guppies than before. How many more guppies were there in Tank L than Tank K in the end?
|
Tank J |
Tank K |
Tank L |
Before |
2 u |
1 u |
5x0.9 = 4.5 u |
Change |
- 0.6 u |
- 0.3 u |
+ 1x0.9 = + 0.9 u |
After |
1.4 u |
0.7 u |
6x0.9 = 5.4 u |
Number of guppies that were transferred from Tank J to Tank L
= 30% x 2 u
=
30100 x 2 u
= 0.6 u
Number of guppies that were transferred from Tank K to Tank L
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
20% =
20100 =
15Some guppies from Tank J and Tank K were transferred to Tank L. The total number of guppies transferred from Tank J and Tank K into Tank L is the same.
Total number of guppies transferred from Tank J and Tank K into Tank L
= 0.6 u + 0.3 u
= 0.9 u
5.4 u = 54
1 u = 54 ÷ 5.4 = 10
Number of more guppies in Tank L than Tank K
= 5.4 u - 0.7 u
= 4.7 u
= 4.7 x 10
= 47
Answer(s): 47