A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs [tex]\$32[/tex], so the debt for one ticket is [tex]-\$32[/tex]. The tour company adds a [tex]\$15[/tex] fee for the entire order.

Which number represents the total debt?

A. [tex]-\$288[/tex]
B. [tex]-\[tex]$273[/tex]
C. [tex]-\$[/tex]423[/tex]
D. [tex]-\$303[/tex]



Answer :

Let's determine the total debt for the 9 tickets, factoring in the additional fee of \[tex]$15. 1. Calculate the total debt without the fee: - The debt for one ticket is \(-\$[/tex]32\).
- For 9 tickets, the total debt would be:
[tex]\[ 9 \times (-\$32) = -\$288 \][/tex]
Thus, the total debt without including the fee is [tex]\(-\$288\)[/tex].

2. Include the additional fee:
- The tour company adds a fee of \[tex]$15 to the entire order. - Therefore, the total debt including the fee would be: \[ -\$[/tex]288 + \[tex]$15 = -\$[/tex]273
\]

So, the total debt, considering the fee, is [tex]\( -\$273 \)[/tex].

Among the given options:

- [tex]\(-\$288\)[/tex]
- [tex]\(-\$273\)[/tex]
- [tex]\(-\$423\)[/tex]
- [tex]\(-\$303\)[/tex]

The correct answer is [tex]\(-\$273\)[/tex].