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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?

Verified Answer :

meerkat18

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

Answer:

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

Step-by-step 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

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