A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs [tex][tex]$\$[/tex]32[tex]$[/tex], so the debt for one ticket is [tex]-\$[/tex]32[/tex]. The tour company adds a [tex][tex]$\$[/tex]20[tex]$[/tex] fee for the entire order.

Including the fee, which number represents the total debt?

A. [tex]-\$[/tex]404[/tex]
B. [tex]-\[tex]$364[/tex]
C. [tex]-\$[/tex]624[/tex]
D. [tex]-\$384[/tex]



Answer :

Let's break the problem down step-by-step:

1. Determine the debt for each ticket:

Each ticket costs [tex]$ -\$[/tex] 32[tex]$. Since the tickets are pre-ordered and not paid for, this represents a debt per ticket. 2. Calculate the total debt for the tickets: The total number of tickets is 12. So, we need to find the overall debt for these 12 tickets by multiplying: \[ 12 \text{ tickets} \times -\$[/tex] 32 \text{ (per ticket)} = -\[tex]$ 384 \] 3. Include the additional fee: The tour company adds a $[/tex] \[tex]$ 20$[/tex] fee for the entire order. This fee is added to the total debt.

4. Calculate the total debt including the fee:

We add the fee to the total ticket debt:
[tex]\[ -\$ 384 \text{ (total ticket debt)} + \$ 20 \text{ (fee)} = -\$ 364 \][/tex]

The final value, representing the total debt including the fee, is:
[tex]\[ - \$ 364 \][/tex]

So, among the given choices, the correct representation of the total debt is:
[tex]\[ - \$ 364 \][/tex]