Question

Wayne and Garth are planning to have a concert. They have found two good options. Option 1: Malcolm's Music Hall will pay them $100 for playing and add $15 per person in the audience. Option 2: Reggie's Reggae Room will pay them $350 for playing and add 10$ per person in the audience.

Answer 1

50 people

Explanation:

If you are to calculate the number of people that will come to the concert that will ensure option 1 and option 2 to yield equal amount

Let

x = number of people

Option 1:

Malcolm's Music Hall = 100 + 15x

Option 2:

Reggie's Reggae Room = 350 + 10x

Equate both options

100 + 15x = 350 + 10x

Collect like terms

100 - 350 = 10x - 15x

-250 = - 5x

x = -250/-5

x = 50 people