there is a total of 16 chickens and rabbits ina farm.the total number of legs(chickens and rabbits)is equal to 50.how many chickens and many rabbits are there?
Answers
Answer:
hi !!
Step-by-step explanation:
The total number of chickens = x
The total number of rabbits = y
The total number of legs = 50
By question,
Each chicken has 2 legs and each rabbit has 4 legs. So, total number of legs is 50.
2x+4y=50............(i)
Total number of chickens and rabbits is 16.
x+y=16 ----- x = 16-y.........(ii)
Substitute (ii) in (i) equation:
2x+4y=50
2(16-y) + 4y= 50
32-2y+4y = 50
32+2y = 50
2y = 50-32
2y = 18
y = 18/2
y = 9
Substitute y=9 in (ii) equation:
y = 9
x = 16-y = 16-9= 7
Answer: x = 7 = number of chickens
and
y = 9 = number of rabbits.
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