Question

Tracie buys tickets to a concert for herself and two friends. There is an 8% tax on the cost of the tickets and an additional 10$ booking fee. What would the Algebraic Expression Be?

Answer 1

Hello,

If Tracie is buying tickets for herself and two friends, then she is buying a total of 3 tickets.

Let x = the cost of 1 ticket

3 tickets = 3x

There is an 8% tax, which can also be stated as 0.08. But, this tax is added onto the price of the 3 tickets, which is equal to 3x.

So, we have 1.008(3x) = 3.024x
But, there is a $10 booking fee, this is regardless of how many tickets are purchased, so it is simply an additional 10$ to the cost.

So, the answer is 3.024x + 10, 
where x = the price of 1 ticket

Hope this helps!