Question

A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 370x+24000, where is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 460x+21000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 370x+24000 = 460x+21000 true? Round your answer to the nearest whole number.

Answer 1

The number of hours of legal assistance that makes the equation 370x+24000 = 460x+21000 true is 33.

Step-by-step explanation:

To find the number of hours of legal assistance that makes the equation 370x+24000 = 460x+21000 true, we need to solve for x.

First, let's subtract 370x from both sides of the equation:

24000 = 460x - 370x + 21000

This simplifies to:

24000 = 90x + 21000

Next, subtract 21000 from both sides:

3000 = 90x

Finally, divide both sides by 90:

x = 3000/90 = 33.33

Rounding to the nearest whole number, the number of hours of legal assistance that makes the equation true is 33.