Question

All tickets for a concert are the same price as the ticket agency as a fixed fee to every order a person who orders five tickets pays $93 a person who orders three tickets pays $57 a hint you'll need to calculate the slope of your first line. what is the cost per ticket?

Answer 1

$18 is the cost per ticket ordered

Explanation:

We proceed as follows;

Let the cost per ticket be $x while the fixed fee be $y

For the person that ordered 5 tickets, we can have his mathematical representation as;

5(x) + y = 93 •••••••••(i)

For the person that ordered 3 tickets, we can have his mathematical representation as;

3(x) + y = 57 ••••••••(ii)

From the first equation, we can have;

y = 93 - 5x

Let’s plug this into ii

3x + 93 - 5x = 57

-2x = 57 -93

2x = 36

x = 36/2

x = $18

This means that the cost per ticket ordered is $18