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Sagot :
Answer:
12 cows - 48 legs
4 ducks- 8 legs
- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.
Step-by-step explanation:
22 total animals
56 total legs
ducks have 2 legs
cows have 4 legs
12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)
4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)
Creating a system of equation using the scenario described, the number of cows and ducks owned are 6 and 16 respectively.
- Number of legs per cow = 4
- Number of legs per duck = 2
- Number of ducks = d
- Number of cows = c
The equation goes thus :
c + d = 22 - - - (1)
4c + 2d = 56 - - - (2)
From (1)
c = 22 - d - - - - (3)
Substitute (3) into (2)
4(22 - d) + 2d = 56
88 - 4d + 2d = 56
88 - 2d = 56
-2d = 56 - 88
-2d = - 32
d = 16
From (3)
c = 22 - 16
c = 6
Hence, the number of cows and ducks owned are 6 and 16 respectively.
Learn more : https://brainly.com/question/16785562
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