Question

For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?

(4, 12)
(6, 10)
(8, 8)
(10, 6)

Answer 1

The only ordered pair that shows Y as four less than X is (10, 6).

Answer 2

The correct option is 4.

Explanation:

Let the number of sheep be x and the number of chickens be y.

It is given that there are total 16 animals.

`x+y=16` .... (1)

The number of chickens, y, is 4 less than the number of sheep, x.

`y=x-4` .... (2)

Using (1) and (2), we get

`x+(x-4)=16`

`2x-4=16`

Add 4 on both the sides.

`2x=16+4`

`2x=20`

Divide both sides by 2.

`x=10`

Put x=10 in equation (1).

`10+y=16`

Subtract 10 from both the sides.

`y=16-10`

`y=6`

The ordered pair (10,6) represents the number of chickens and sheep. Therefore the correct option is 4.