Sondra has a lot of cats (witch have four legs )and a lot of parakeet (witch have two legs)among her pets she counted 57 heads and176 legs.how many cats does she have
c + p = 57
4c + 2p = 176 or 2c + p = 88
subtract to get c, then go back to first equation to get c
X cats.
Y parakeets.
x + y = 57.
4x + 2y = 176.
Multiply Eq1 by -4 and add Eq1 and Eq2:
-4x - 4y = -228
4x + 2y = 176
sum: -2y = -52
Y = 26.
In Eq1, replace Y with 26 and solve for X:
x + 26 = 57.
X = 31.
To find out how many cats Sondra has, we can set up a system of equations based on the information given:
Let's assume the number of cats is C and the number of parakeets is P.
1) From the statement "Sondra has a lot of cats (which have four legs) and a lot of parakeets (which have two legs)", we know that each cat has four legs and each parakeet has two legs.
2) We are given the information that there are 57 heads in total. This means that the number of cats and parakeets combined is 57. So, we can write the first equation: C + P = 57.
3) We are also given the information that there are 176 legs in total. Since each cat has four legs and each parakeet has two legs, we can write the second equation: 4C + 2P = 176.
Now, we can solve this system of equations to find the number of cats, C.
To do that, we can use the method of substitution or elimination. I will use the elimination method here:
Multiply the first equation by 2, which gives us 2C + 2P = 114.
Now, subtract the second equation from this new equation:
(2C + 2P) - (4C + 2P) = 114 - 176
-2C = -62
Divide both sides of this equation by -2:
C = 31
So, Sondra has 31 cats.