An organization is planning a dance. The band will cost $400 and advertising costs will be $100. Food will be supplied at $2 per person.

a. How many people need to attend the dance in order for the organization to break even if tickets are sold at $7 each?

b. How many people need to attend the dance in order for the organization to break even I tickets are sold at $6 each?

a. 400 + 100 + 2n = 7n

b. 400 + 100 + 2n = 6n

Solve for n.