Math question (need answer)

Question

A local business was looking to hire a landscaper to work on their property. They narrowed their choices to two companies. Flourish Landscaping Company charges $120 per hour. Green Thumb Landscapers charges $70 per hour plus a $1600 equipment fee. Determine and state the number of hours that must be worked for the cost of each company to be the same.

Answer 1

y = 120x (Price of Flourish)

y = 70x + 1600 (Price of Green Thumb)

Solve the system of equations using substitution:

120x = 70x + 1600 (set the equations equal)

*subtract 70x from both sides*

50x = 1600

*divide 50 from both sides*

x = 32

Solution: at 32 hours worked, the cost for both companies would be equal.