Ticket equation

Question

The fee charged by a ticketing agency for a concert is $55.50 plus $89.50 for each ticket purchased. If your total charge for tickets is $682, write an equation for the total charge of the tickets. (Let t represent the number of tickets purchased.)

 

How many tickets are you purchasing?

 tickets

Answer 1

This is basically a linear equation: y = mx+b

in this case, y= the total charge for tickets, m= price for each purchased ticket, x= number of tickets purchased (in this case, the question asks us to substitute 'x' for 't'), and b= the fee charged by the ticketing agency

Therefore, we can now substitute the variables with the given values to get the equation: y=(89.50)t + 55.50

The next part of the question asks us to find the number of tickets purchased if the total charge of the tickets is $682

Substituting 'y' for $682, we get: 682 = (89.50)t +55.50

and we know that 't' represents the number of tickets purchased, so now we can simply solve for 't':

t = (682-55.50) / 89.50

t = 7

when the total charge of the tickets was $682, 7 tickets were purchased