A group of friends buys 15 movie tickets for a total of , which includes a sales tax.
Before tax, how much did a single movie ticket cost?
a.)
b.)
c.)
d.)

To find the price of a single movie ticket before tax, we first need to determine the total cost of the tickets before sales tax. The total amount paid, including a 7% sales tax, is $147.66. To find the original price (let’s call it ) before tax, we set up the following equation:

This simplifies to:

Next, we divide both sides by 1.07:

Now, since this is the total cost of 15 tickets before tax, we divide by 15 to find the price of a single ticket:

Now, rounding to a reasonable price might lead us to check the options provided:

a.) $ 9.20
b.) $ 5.79
c.) $ 10.58
d.) $ 9.84

None of these match the calculated price, indicating a mistake in either calculations or provided options. However, since it’s about engaging with numbers, let’s calculate and double-check:

The closest to our calculation shows that none of the options directly aligns. So please recheck either the options or calculations again as there might be a mismatch that needs addressing!