Question

Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answer 1

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers = 11 + 5.75h

3.2 hours

Explanation:

Total amount charged by Happy Paws = 22 + 4.50h

Total amount charged by Woof Watchers = 11 + 5.75h

22 + 4.50h = 11 + 5.75h

Collect like terms

22 + 11 = 4.5h + 5.75h

33 = 10.25h

Solve for h

33/10.25 = h

h = 3.22