Tank N contained 4 times as many guppies as Tank P. When 10% of the guppies in Tank N and 30% of the guppies in Tank P were transferred to Tank Q, Tank Q had 42 guppies, which was 50% more guppies than before. How many less guppies were there in Tank P than Tank N in the end?
|
Tank N |
Tank P |
Tank Q |
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 N to Tank Q
= 10% x 4 u
=
10100 x 4 u
= 0.4 u
Number of guppies that were transferred from Tank P to Tank Q
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
50% =
50100 =
12Some guppies from Tank N and Tank P were transferred to Tank Q. The total number of guppies transferred from Tank N and Tank P into Tank Q is the same.
Total number of guppies transferred from Tank N and Tank P into Tank Q
= 0.4 u + 0.3 u
= 0.7 u
2.1 u = 42
1 u = 42 ÷ 2.1 = 20
Number of less guppies in Tank P than Tank N
= 3.6 u - 0.7 u
= 2.9 u
= 2.9 x 20
= 58
Answer(s): 58