Question

At Tools Plus, there is a one-time fee of $20 and an hourly fee of $10 to rent a rototiller. At Tools Unlimited, there is only an hourly fee of $15 per hour to rent a rototiller. Write and solve a system of equations that can be used to determine the number of hours for which the rental fee would be the same at both places.

Answer 1

rental fee will be the same at 4 hours

Explanation:

tools plus: equation is

y=10x+20

tools unlimited: equation is

y=15x

x= hours to rent a rollotiller

y= total cost of renting a rollotiller

Substitute 15x into y in the other equation:

15x=10x+20

subtract 10x from both sides

5x=20

divide 5 from both sides

x=4