Question

PLZ HELP

john gets price quotes from two different lawn mowing services for the cost of mowing the field next to his house company A charges $8 plus an additional $5 per hour company B charges $2 plus an additional $6 per hour the total price quote for each company is the same amount how many hours do the companies estimate it will take to mow the field

A. 6
B. 10
C. 21
D. 38

Answer 1

By setting the price equations of the two companies equal to each other, it's determined that it will take 6 hours for both companies to charge the same total cost for lawn mowing services.

Step-by-step explanation:

John is comparing price quotes from two different lawn mowing services to find out how many hours it will take for the total cost to be equal for both companies. We can set up two equations to represent the cost of each company:

• Company A charges $8 plus an additional $5 per hour, which gives us the equation: A = 8 + 5h.
• Company B charges $2 plus an additional $6 per hour, resulting in the equation: B = 2 + 6h.

To find the number of hours where the cost is the same, we set the two equations equal to each other:

8 + 5h = 2 + 6h.

Solving for h (hours), we subtract 5h from both sides:

8 = 2 + h

Then we subtract 2 from both sides:

h = 6.

So, the companies estimate it will take 6 hours to mow the field for the total cost to be the same.

Answer 2

You could set up a equation for each. Once you have the general equation for both, you can set them equal to each other and solve for x. That is one way to solve it. Example for the Company A is 5x + 8 = y