Question

solve if possible. if not, indicate what information is needed. sally raises pigs and chickens. it has 420 animals, with a total of 1240 legs. How many pigs does Sally raise?

Answer 1

Answer:

Sally has 200 pigs

Explanations:

Let the number of pigs be p

Let the number of chickens be c

Since there are a total of 420 animals:

p + c = 420..........................(1)

A pig has 4 legs

A chicken has two legs

The total number of legs = 1240

Therefore:

4p + 2c = 1240.............................(2)

Make p the subject of the formula in equation (1)

p = 420 - c............(3)

Substitute equation (3) into equation (2)

4(420 - c) + 2c = 1240

1680 - 4c + 2c = 1240

4c - 2c = 1680 - 1240

2c = 440

c = 440/2

c = 220

Substitute the value of c into equation (3)

p = 420 - c

p = 420 - 220

p = 200

Sally has 220 chickens and 200 pigs