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

Answer:

The correct option is 4.

Step-by-step 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.

Answer 2

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