Question

Karla is selling tickets for a high school play. Child tickets cost $7 and adult tickets cost $13 she sells 180 tickets and collects $1830 Setup a system of equations using C for number of child tickets and A for number of adult tickets to find the number of each ticket sold

Answer 1

Answer: The number of child tickets is 85 and the number of adult tickets is 95.

Explanation:

Let C = Number of child tickets

A = Number of adult tickets.

As per given, we have

C+A=180 (i)

7C+13A=1830 (ii)

Multiply 7 to both sides of equation (ii), we get

7C+7A=1260 (iii)

Eliminate (iii) from (ii) , we get

`6A=570\\\\\Rightarrow\ A=95`

Put value of y in (i), we get

C= 85

Hence, the number of child tickets is 85 and the number of adult tickets is 95.