Question

1. the theater club sold 52 tickets. if they sold 10 more matinee tickets than evening tickets, how many evening tickets did they sell?

Explanation:

Step1: Define variables

Let $x$ be the number of evening tickets. Then the number of matinee tickets is $x + 10$.

Step2: Set up equation

The total number of tickets is the sum of evening and matinee tickets, so $x+(x + 10)=52$.

Step3: Solve the equation

Simplify the left side: $2x+10 = 52$. Subtract 10 from both sides: $2x=52 - 10=42$. Divide both sides by 2: $x=\frac{42}{2}=21$.

Answer:

21