You need to hire a catering company to serve meals to guests at a wedding reception. Company A charg

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

Set each equation equal to each other and use our equation solver to get:
g = 75