Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
-Sybil is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $\$ 200$ for materials and equipment rental plus $\$ 55$ per hour for labor. Company B gave an estimate of $\$ 275$ for materials and equipment rental plus $\$ 40$ per hour for labor. Determine how many hours of labor will be required for the two companies to cost the same.
A) 5 hours
B) 4 hours
C) 8 hours
D) 9 hours

Question

Quizplus · Accepted Answer

To find when the costs are equal, set the equations for both companies equal: $200 + 55x = 275 + 40x$. Solving for $x$, we get $15x = 75$, so $x = 5$ hours.

Use the Five-Step Strategy for Solving Word Problems to Find $200\$ 200$200

Use the Five-Step Strategy for Solving Word Problems to Find $\$ 200$