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A benefit concert is being held at a nearby venue that charges $500 for rental of the space. Additionally, they are charging $5 per person who attends. The costs are to be split up between all of the attendees except there are 5 members of the family that the event is benefiting, so you do not want them to have to pay. How many people would need to attend in order for the ticket price to be $15?

Set up and solve an equation to determine this ticket price.

Sagot :

8 is the answer. Because if you multiply 5 x 3, its 15, so that gives you the 15 dollar ticket price, and add the 5 that didnt need to pay, wich is 5 + 3 = 8.

Have a great day, and sorry if i got it wrong. <3

48 people needed to attend for the ticket price to be $15

How to determine the number people?

The given parameters are:

  • Rent = $500
  • Charge = $5 per person

Let the number of people be x.

So, the cost is:

Cost = 500 + 5x

5 members of the family would not pay.

So, we have:

Cost = 500 + 5(x - 5)

The ticket price is $15.

So, the revenue is

Revenue = 15x

Equate the revenue and cost equations

500 + 5(x - 5) = 15x

Expand

500 + 5x - 25 = 15x

Evaluate the like terms

10x = 475

Solve for x

x = 47.5

Approximate

x = 48

Hence, 48 people needed to attend for the ticket price to be $15

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