If 108 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $240.5, how many of each went to the concert?

Answer 1

If x is the number of adults who attended the concert, then 108-x is the number of children who attended.

total receipts from adults = 2.5x

total receipts from children = 2(108-x)

total receipts = 240.5

turn above into an equation and solve for x:

2.5x + 2(108-x) = 240.5

2.5x + 216 - 2x = 240.5

0.5x = 24.5

x = 49 adults

plug in 49 for x to find number of children

108 - x = 108 - 49 = 59 children

check:

59 * 2 + 49 * 2.5

Answer 2

Hi Andrea M

You are given the following totals:

108 people

$240.50 for the total receipts

Both adults and children attended

Let x = children

Let y = adults

For the total people we have

x + y = 108

We have prices for the adult tickets and the children tickets

2.00(x) represents the cost per child

2.50(y) represents the cost per adult so

For the total receipts

2x + 2.5y = 240.5

We have two equations one for total People and one for total Receipts

Can you continue from here? This can be done by Elimination or Substitution,

If you have questions please send me a message.