Question

James has a dog grooming service he charges a flat rate of $50 per month plus $100 per grooming Bradley does not charge a monthly fee for his dog grooming service, but he charges $35 per grooming right and solve an equation to find the number of grooming visitors W for which James and Bradley would charge the same amount

Answer 1

The numbers of grooming visits for which James and Bradly would charge the same amount is 2

Step-by-step explanation:

Let the numbers of grooming visits be x and the charge in dollars be y

Then according to the question :

The amount (dollars) James charge for w visits is

y=10w+50 ------------------------------------------------(1)

The amount (dollars) James charge for w visits is

y=35w -------------------------------------------------------(2)

On equating (1) and (2)

35w = 10w+50

Grouping the like terms on the same side

35w-10w = 50

25w = 50

`w = (50)/(25)`

w = 2

Thus for 2 grooming visits James and Bradly would charge the same amount