Tank H contained 3 times as many guppies as Tank J. When 30% of the guppies in Tank H and 40% of the guppies in Tank J were transferred to Tank K, Tank K had 117 guppies, which was 50% more guppies than before. How many more guppies were there in Tank K than Tank J in the end?
|
Tank H |
Tank J |
Tank K |
Before |
3 u |
1 u |
2x1.3 = 2.6 u |
Change |
- 0.9 u |
- 0.4 u |
+ 1x1.3 = + 1.3 u |
After |
2.1 u |
0.6 u |
3x1.3 = 3.9 u |
Number of guppies that were transferred from Tank H to Tank K
= 30% x 3 u
=
30100 x 3 u
= 0.9 u
Number of guppies that were transferred from Tank J to Tank K
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some guppies from Tank H and Tank J were transferred to Tank K. The total number of guppies transferred from Tank H and Tank J into Tank K is the same.
Total number of guppies transferred from Tank H and Tank J into Tank K
= 0.9 u + 0.4 u
= 1.3 u
3.9 u = 117
1 u = 117 ÷ 3.9 = 30
Number of more guppies in Tank K than Tank J
= 3.9 u - 0.6 u
= 3.3 u
= 3.3 x 30
= 99
Answer(s): 99