Question

In a farm ,there are some goats and some chickens. Paul counted 45 heads while Julie counted 150 legs.How many goats and chicken are there?

Answer 1

g = goats

c = chickenes

The 45 heads mean :

Number of goat heads plus the number of chicken heads = 45

g + c = 45

150 legs mean:

4 g (number of goat legs) + 2 c (number of chicken legs) = 150

4 g + 2 c = 150

Now you must solve system of equations:

g + c = 45

4 g + 2 c = 150

Try that.

The solutions are:

c = 15 , g = 30

Answer 2

X goats.
4x Legs.
ns.

45-x Chickens.
2(45-x) = 90 - 2x Legs.

4x + (90-2x) = 150 Legs.
X = 30 Goats.

45-x = 45 - 30 = 15 Chickens.

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