Question

Students receive a 15% discount at the local movie theater. If a student pays the discounted price of $7.65, what is the original price of the movie ticket?

Answer 1

Answer:

$\large \boxed{\ 9.00}$

Step-by-step explanation:

Let p = the original price of the ticket

$\begin{array}{rcl}\text{ Price before discount - discount} & = & \text{sale price}\\p - 0.15p & = & 7.65\\0.85p & = & 7.65\\p & = & \dfrac{7.65 }{0.85}\\\\& = & \mathbf{9.00}\\\end{array}\\\text{The original price of the ticket was \large \boxed{\mathbf{\ 9.00}} }$

Check:

$\begin{array}{rcl}9.00 - 0.15(9.00) & = & 7.65\\9.00 - 1.35 & = & 7.65\\7.65 & = & 7.65\\\end{array}$

OK.