Need word problem solved A washer and a dryer cost 821 combined. The washer costs 79 less than the dryer. What is the cost of the dryer?

Respuesta :

Let x be the cost of dryer, y be the cost of washer

x + y =821
x-79 = y

combine 2 equation
we got
x + (x-79) = 821
2x + 79 = 821
2x = 742
x=471

The cost of dryer is $471

Answer:

The cost of the dryer is 450

Step-by-step explanation:

Given :  A washer and a dryer cost 821 combined.

             The washer costs 79 less than the dryer.

To Find : The cost of dryer

Solution :

Let the cost of washer be x.

Let the cost of dryer be y.

Since we are given that their combined cost is 821 .

⇒ x+y = 821  ----(A)

We are also given that the washer costs 79 less than the dryer.

⇒x = y - 79  ----(B)

Solving A and B using substitution method .

Put value of x from (B) in (A)

⇒y -79 + y = 821

⇒2y -79 = 821

⇒2y = 821+79

⇒2y = 900

⇒y = 450

Thus , The cost of dryer 'y' is 450 .

Now putting this value in (B)

⇒x = 450-79

⇒x = 371

Thus , The cost of washer 'x' is 371 .

Hence The cost of dryer is 450