44 cows can graze a field in 9 days. How many less / more cows will graze the same field in 12 days?
- A15 cows more
- B11 cows more
- C11 cows less
- D15 cows less
Solution & Step-by-step Explanation
This problem follows inverse variation rules, governed by the formula:
M
1
×D
1
=M
2
×D
2
Where:
M
1
=44 cows
D
1
=9 days
D
2
=12 days
M
2
= number of cows needed for 12 days
Substitute the parameters:
44×9=M
2
×12
M
2
=
12
44×9
Simplifying by dividing by 4 and 3:
M
2
=
3
11×9
=11×3=33 cows
Initially, there were 44 cows. Now, 33 cows are required.
Difference=44−33=11 cows less
M
1
×D
1
=M
2
×D
2
Where:
M
1
=44 cows
D
1
=9 days
D
2
=12 days
M
2
= number of cows needed for 12 days
Substitute the parameters:
44×9=M
2
×12
M
2
=
12
44×9
Simplifying by dividing by 4 and 3:
M
2
=
3
11×9
=11×3=33 cows
Initially, there were 44 cows. Now, 33 cows are required.
Difference=44−33=11 cows less