Question

One yard company charges $10x + $50 a month to mow and edge a lawn. A second company charges $8x + $60 a month to mow and edge a lawn. Each lawn company also offers additional services for an extra fee. Let x represent the number of additional services. Mr. Mead is comparing the two companies. How many additional services are needed for the two companies to be the same price?

Answer 1

Are needed 5 additional services for the two companies to be the same price

Explanation:

• Let x represent the number of additional services

• One yard company charges $10x + $50

• A second company charges $8x + $60

If the two companies charge the same price:

$10x + $50 = $8x + $60

$10x - $8x = $60 - $50

$2x = $10

x = $10/$2

x = 5

Answer 2

Set the two equations equal to each other and solve for x
10x +50 = 8x +60
-50 -50
-----------------
10x = 8x + 10

10x = 8x + 10
-8x -8x
---------------
2x = 10 2x = 10

divide by 2 on both sides x=5 five additional services are needed for the two companies prices to be equal