Question

Jaime is a pet groomer and charges $30 for an initial consultation, then $40 per hour to groom a pet. Jon charges only $50 per hour to groom a pet. In how many hours will the two groomers change the same price?

Answer 1

3 hours

Explanation:

let us first model the amount that Jaime and Jon will charge

let the total amount be y and let the number of hours be x

Jaime will charge

y=30+4x------1

Jone will charge

y=50x-----2

equating 1 and 2 we can solve for x which is the number of months Jaime and Jon will charge the same price

50x=30+40x

50x-40x=30

10x=30

divide both sides by 10 we have

x=30/10

x=3