This season, Stamford Theater sold $11,037$ tickets to Shakespearean plays. That is $95\%$ more than the theater sold last season. How many tickets to Shakespearean plays did the theater sell last season? $\newline$ ____ tickets

Full solution

Q. This season, Stamford Theater sold

11,037

tickets to Shakespearean plays. That is

95\%

more than the theater sold last season. How many tickets to Shakespearean plays did the theater sell last season?

\newline

____ tickets

Define $x$ as previous number: Step $1$ : Define the previous number of tickets sold as $x$ . Reasoning: We know this season's sales are $95\%$ more than last season's. Calculation: Current season's tickets = $x + 0.95x = 1.95x$ Math error check:
Set up equation with current sales: Step $2$ : Set up the equation using the given current season's ticket sales. $\newline$ Reasoning: We know this season they sold $11,037$ tickets. $\newline$ Calculation: $1.95x = 11,037$ $\newline$ Math error check:
Solve for x to find sales: Step $3$ : Solve for $x$ , the number of tickets sold last season. $\newline$ Reasoning: Isolate $x$ to find last season's ticket sales. $\newline$ Calculation: $x = \frac{11,037}{1.95}$ $\newline$ Math error check: