Question

Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440.

Which value could replace c in the table?

A. 67
B. 440
C. 67 – a
D. 440 – a

Answer 1

C= 67-A

Step-by-step explan:

Answer 2

Keywords:

System of equations, variables, cost, tickets, adults, children.

For this case we must solve a system of equations with two variables represented by the tickets of students and adults of a school production.

We define the variables according to the given table:

• a: Number of tickets sold to adults
• c: Amount of tickets sold to children.

We then have the following system of equations:

`a + c = 67\\10a + 5c = 440`

From the first equation, we clear the value of the variable c:

`c = 67-a`

Answer:

The value that could replace c in the table is:

`c = 67-a`

Option C