Terry and Ed start a lawn mowing business and purchase the mowers and equipment for $1,300. They charge $15 for each lawn and use $2 worth of gas for each job. How many lawns must Terry and Ed mow before breaking even?
a. 10 lawns
b. 50 lawns
c. 100 lawns***
d. 1,000 lawns
profit of $13 per lawn.
so, it takes 100 lawns to pay off the $1300.
You are correct.
Well, Terry and Ed certainly have their work cut out for them! To figure out how many lawns they need to mow before breaking even, let's do a little math.
Each lawn earns them $15, and they spend $2 on gas for each job. So, the net profit per lawn is $15 - $2 = $13.
To break even, they need to make back their initial investment of $1,300. If each lawn brings in a net profit of $13, they'll need to mow $1,300 / $13 = 100 lawns.
So, the answer is c. 100 lawns. Good luck to Terry and Ed on their lawn mowing adventure!
To determine how many lawns Terry and Ed must mow before breaking even, we need to calculate the total cost per lawn.
The total cost per lawn is the sum of the equipment cost, gas cost per job, and any other costs incurred per job. In this case, the equipment cost is $1,300, and the gas cost per job is $2.
Total cost per lawn = Equipment cost + Gas cost per job
Total cost per lawn = $1,300 + $2
Total cost per lawn = $1,302
Now, let's find how many lawns they must mow before breaking even. To break even, the total revenue must be equal to the total costs.
Total revenue = Total cost per lawn x Number of lawns
$15 x Number of lawns = $1,302 x Number of lawns
To find the breaking point, where the revenue equals the total cost, we need to set up the equation:
$15 x Number of lawns = $1,302
Now we can solve for the number of lawns:
Number of lawns = $1,302 / $15
Number of lawns ≈ 86.8
Since the number of lawns must be a whole number, Terry and Ed will need to mow at least 87 lawns before breaking even.
None of the given answer choices are precisely correct. However, the closest option is "c. 100 lawns," so that is the best answer choice from the given options.
To calculate the number of lawns Terry and Ed must mow to break even, we need to consider the expenses and revenue associated with each lawn.
Let's break down the costs involved:
1. Equipment cost: $1,300
2. Gas cost per lawn: $2
Now let's calculate the revenue:
1. Revenue per lawn: $15
Terry and Ed will start earning profits when their revenues cover both the equipment cost and the ongoing gas cost associated with mowing lawns. The equation to determine the number of lawns needed to break even is:
Number of lawns * Revenue per lawn = Equipment cost + (Gas cost per lawn * Number of lawns)
Simplifying the equation:
15 * Number of lawns = 1300 + 2 * Number of lawns
Combining like terms:
15 * Number of lawns = 1300 + 2 * Number of lawns
Subtracting 2 * Number of lawns from both sides:
13 * Number of lawns = 1300
Dividing both sides by 13:
Number of lawns = 100
Therefore, Terry and Ed must mow 100 lawns before breaking even. The correct answer is c. 100 lawns.