Question

So i have this project and i need help on it.
It says ....As your 8th grade graduation approaches,your parents decide to begin planning for your graduation party.Your parents have asked for your help in deciding which companies will be the better deal for them to use since you are better in math then they are.

Task 1:Determine how many people you are going to invite to your graduation party (remember to include family members)Number Invited:100(my class picked 100 for the people invited)

Task 2:Decide which catering company is the better deal for the amount of people you are inviting.
(catering Company A charges a fee of $50 for set-up and clean-up plus an additional $25.00 per person that will be eating at the party.Catering Company B charges a fee of $130 for set-up and clean-up plus and additional $20 per person that will be eating at the party.

HERE IS THE QUESTION : When will the two companies cost the same amount of money? set up an equation and solve to prove your answer.

Another question:Which company is the better deal for you to use? show your work
Answer this Question please.Thank you im sorry that its so long but I really need help

Answer 1

number of people ---- n
Company A:
CostA = 25n + 50
Company B:
CostB = 20n + 130

So for n = 100
CostA = 2500+50 = 2550
CostB = 2000+130 = 2130

When is CostA = CostB ?
25n + 50 = 20n + 130
5n = 80
n = 16

break-even number is 16 people.