Question

Marlene is hiring a lawn company to mow her lawn. Maple Lawn Care charges a $105 registration fee, plus $35 each time they mow the lawn. The Yard Birds charge a $15 registration fee, plus $50 each time they mow the lawn. How many times will Marlene need her lawn mowed for the two services to be equal in price?

Answer 1

Answer: Marlene will need her lawn mowed 6 times for the two services to be equal in price.

Explanation:

To find out how many times Marlene will need her lawn mowed for the two services to be equal in price, you can set up an equation.

Let X represent the number of times the lawn is mowed.

For Maple Lawn Care, the cost is the registration fee plus the cost for each mowing:

Cost for Maple Lawn Care = $105 + $35X

For The Yard Birds, the cost is the registration fee plus the cost for each mowing:

Cost for The Yard Birds = $15 + $50X

To find when these two costs are equal, you can set up the equation:

$105 + $35X = $15 + $50X

Now, you can solve for X:

$105 - $15 = $50X - $35X

$90 = $15X

Now, divide both sides by $15 to find X:

X = $90 / $15

X = 6