Problema Solution
A plumber, Speedy Samantha charges $50 for service call and $75 per hour for labor and Cheap Charles charges $120 for service call plus $55 per hour for labor. To determine at what point the two companies charge the same amount for the same service, write an equation that sets Samantha"s charge equal to Charles charge. Solve the equation to determine the break-even point or the point in which, regardless of whether a customer used Samantha or Charles, the plumbing bill would be the same.
Answer provided by our tutors
Samantha's charges for x hours = 75x + 50.
Cheap charges for x hours = 55x +120
So, at break even point,
75x + 50 = 55x +120
75x -55x =120-50 = 70
20x =70
x = 70/20 = 7/2 = 3.5 hours.