Question

A company is looking to hire a lawyer. One law rm states that their legal fees can be determined using the

expression 350x + 22,000, where x is the number of hours of legal assistance. A second law rm states that their legal
fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees
would cost the same for each law rm. What number of hours of legal assistance makes the equation 350x+22,000 =
410x+16,000 true?

Answer 1

100 hours

Explanation:

Law firm A = 350x + 22,000,

Law firm B = 410x+16,000

Where,

x = number of hours of legal assistance

What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Equate the legal fees of the two law firms

350x + 22,000 = 410x + 16,000

Collect like terms

350x - 410x = 16,000 - 22,000

-60x = -6,000

Divide both sides by -60

x = -6,000 / -60

= 100

x = 100 hours

The number of hours of legal assistance makes the equation true is 100 hours