Tank K contained 4 times as many guppies as Tank L. When 10% of the guppies in Tank K and 30% of the guppies in Tank L were transferred to Tank M, Tank M had 63 guppies, which was 50% more guppies than before. How many less guppies were there in Tank L than Tank K in the end?
|
Tank K |
Tank L |
Tank M |
Before |
4 u |
1 u |
2x0.7 = 1.4 u |
Change |
- 0.4 u |
- 0.3 u |
+ 1x0.7 = + 0.7 u |
After |
3.6 u |
0.7 u |
3x0.7 = 2.1 u |
Number of guppies that were transferred from Tank K to Tank M
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank L to Tank M
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
50% =
50100 =
12Some guppies from Tank K and Tank L were transferred to Tank M. The total number of guppies transferred from Tank K and Tank L into Tank M is the same.
Total number of guppies transferred from Tank K and Tank L into Tank M
= 0.4 u + 0.3 u
= 0.7 u
2.1 u = 63
1 u = 63 ÷ 2.1 = 30
Number of less guppies in Tank L than Tank K
= 3.6 u - 0.7 u
= 2.9 u
= 2.9 x 30
= 87
Answer(s): 87