# Happy Paws charges $19.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $15.00 plus $2.75 per hour. How do you write and solve and equation to find for how many hours the total cost of services is equal?

##### 1 Answer

Feb 13, 2016

After 3.2 or 3 hours and 12 minutes, the total cost of services is equal.

#### Explanation:

First, set up equations for total cost for both Happy Paws and Woof Watchers.

x= number of hours

y= total cost

Happy Paws

Woof Watchers

Because you have to find when total cost is equal, then the y's of both equations are equal to each other. That means you can substitute the Woof Watchers'

Rearrange the equation so the variable, x, is on one side and the numbers on the other and solve.

You can check the answer by plugging

Happy Paws:

Woof Watchers: