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Sagot :
Answer:
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Step-by-step explanation:
Let d be the number of ducks and s be the number of sheep
Then according to given statements, the equations will be:
[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]
For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:
[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]
Putting s = 6 in equation 1:
[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]
Hence,
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Number of sheep and Number of duck are 6 and 36
Elimination method:
Given that;
Number of total heads = 42
Number of total feet = 96
Find:
Number of ducks and sheep
Computation:
Number of legs in 1 sheep = 4
Number of legs in 1 duck = 2
So,
Assume;
Number of sheep = a
Number of duck = b
So,
a + b = 42 ...... Eq1
4a + 2b = 96 ......... Eq2
Eq2 / 2
2a + b = 48..... Eq3
From Eq 3 and Eq1
a = 6
So,
b = 36
Number of sheep = 6
Number of duck = 36
Find out more information 'Elimination method'
https://brainly.com/question/3580300?referrer=searchResults
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