How many children and how many adults bought tickets?

Question

The cost of a ticket to the circus is $19.00 for children and $38.00 for adults. On a certain day, attendance at the circus was 2,100 and the total gate revenue was $64,600. How many children and how many adults bought tickets?

Answer 1

c represents the number of children

2100 - c represents the number of adults

19c + 38(2100 - c) = 64600

Can you solve for c and answer?

Answer 2

Hi Shelby

A system of equations can be used to answer your question

You are given the total attendance and the total revenue based on given ticket costs

Let c = children

Let a = adults

Equation 1 for total attendance

c + a = 2100

a = 2100 - c

Equation 2 for total revenue

19c + 38a = 64600

You can use Substitution or Elimination to solve your problem, give it a try if you have any questions please ask.