You need to hire a catering company to serve meals to guests at a wedding reception. company a charges $500 plus $20 per guest. company b charges $800 plus $16 per guest. for how many guests are the total costs the same at both companies?
set up the cost equations for both companies where g is the number of guests:
c(a) = 20g + 500
c(b) = 16g + 800

The answer is 75 guests.

Step-by-step explanation:

Let the number of guests be represented by g.

Company A charges $500 plus $20 per guest. Equation forms:

  ......(1)

Company B charges $800 plus $16 per guest. Equation forms:

    ......(2)

To know the number of guests to get the total costs of both companies as same, we will equal both equations:

Solving for g;

=>

=> g = 75

Hence, 75 guests are needed to get costs for both companies same.

idk

step-by-step explanation:

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !