Tank J contained 2 times as many guppies as Tank K. When 40% of the guppies in Tank J and 40% of the guppies in Tank K were transferred to Tank L, Tank L had 216 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 |
5x1.2 = 6 u |
Change |
- 0.8 u |
- 0.4 u |
+ 1x1.2 = + 1.2 u |
After |
1.2 u |
0.6 u |
6x1.2 = 7.2 u |
Number of guppies that were transferred from Tank J to Tank L
= 40% x 2 u
=
40100 x 2 u
= 0.8 u
Number of guppies that were transferred from Tank K to Tank L
= 40% x 1 u
=
40100 x 1 u
= 0.4 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
= 0.8 u + 0.4 u
= 1.2 u
7.2 u = 216
1 u = 216 ÷ 7.2 = 30
Number of more guppies in Tank L than Tank K
= 7.2 u - 0.6 u
= 6.6 u
= 6.6 x 30
= 198
Answer(s): 198