Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Megan is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $190 for materials and equipment rental plus $55 per hour for labor. Company B gave and
Estimate of $260 for materials and equipment rental plus $45 per hour for labor. Determine how many hours of
Labor will be required for the two companies to cost the same.
A) 6 hours
B) 10 hours
C) 11 hours
D) 7 hours

Question

Quizplus · Accepted Answer

Let $h$ be the number of hours of labor. The cost for Company A is $190 + 55h$, and the cost for Company B is $260 + 45h$. Setting these equal to each other to find when the costs are the same gives $190 + 55h = 260 + 45h$. Solving this equation for $h$ gives $h = 7$.

Set Up an Equation That Can Be Used to Solve