Question

The MTC Theater holds 250 people, and last night's performance sold out! Children's tickets were $2.50 per ticket, while adults paid $4.00 per ticket. Last nights show brought in $910. Write an equation or system of equations to find out how many children and how many adult tickets were sold.

Answer 1

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,

a + c = 250

a = 250 - c

4a + 2.5c = 910

Substitute a value

4(250 - c) + 2.5c = 910

1000 - 4c + 2.5c = 910

1000 - 1.5c = 910

-1. 5c = -90

1.5c = 90

c = 90/1.5

c = 60

a + c = 250

a + 60 = 250

a = 190

60 children tickets and 190 adult tickets were sold.