Answer:
c = −108 and r = 118
Step-by-step explanation:
Since we know that chickens have 2 legs and rabbits have 4 legs, we can set up a system of equations to solve the problem.
Let c be the number of chickens and r be the number of rabbits.
for legs, we can write the equation out in word form as:
(number of legs per chicken)(number of chickens) + (number of legs per rabbit)(number of rabbits) = (total number of rabbits)
In algebraic form, this equation would look like this:
2
c + 4
r = 256
20+r +r = 256
Now we can use elimination (or substitution) to solve for c and r:
The equation can be reduced by dividing both sides by 2:
c + 2
r = 128
Solve for r.
20+r +r = 256
2r = 236
2r/2 = 236/2
r = 118
Substitute and solve for c.
c + 2(118) = 128
c + 236 = 128
c = -108
