Final answer:
To find the original price of one movie ticket without the coupon, we set up the equation 6(x - $2) = $42, solve for x, and find that x equals $9.
Step-by-step explanation:
The question at hand requires us to determine the original price of a movie ticket before applying a $2-off coupon. Given that six friends use these coupons and spend a total of $42 for their movie tickets, we can calculate the price of one movie ticket without the coupon using a simple algebraic equation.
Let's denote the original price of the movie ticket as x. Each friend uses a $2-off coupon, so the price they pay per ticket is x - $2. Since there are six friends, the total cost can be expressed as 6(x - $2) = $42. Simplifying the equation gives us 6x - $12 = $42. Adding $12 to both sides of the equation gives us 6x = $54. Dividing both sides by 6 results in x = $9.
Therefore, the price of one movie ticket without the coupon is $9, which corresponds to option c).